Questions on Algebra: Exponent and logarithm as functions of power answered by real tutors!

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Question 982885: Zeus Industries bought a computer for $2614. It is expected to depreciate at a rate of 19% per year. What will the value of the computer be in 4 years?




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Question 982885: Zeus Industries bought a computer for $2614. It is expected to depreciate at a rate of 19% per year. What will the value of the computer be in 4 years?




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Question 983070: I am trying to solve (1/8)^(2x-3) = 16^(x+1)
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Question 983070: I am trying to solve (1/8)^(2x-3) = 16^(x+1)
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Question 983082: Hi I have searched for an eqjuation similar to the one I need to solve. Can you please help me?
e^0.4x = 4^x-2

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Question 983082: Hi I have searched for an eqjuation similar to the one I need to solve. Can you please help me?
e^0.4x = 4^x-2

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Question 983404: Find "A" and "k" in the equation h=Ae^(kx) using (3,0) and (1.5,1).
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Question 983632: Please help me solve this equation ... Find the value of x satisfying ...2%5E%283x%2B1%29-3.2%5E%28x%29%2B2%5E%28x%2B1%29=2%5Ex
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Question 983627: Please help me solve this equation ... 4%5E%28x%2B1%29-9%282%29%5Ex=-2
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Question 983669: Find x:
0.05=3*e^(ln(.5)*x)

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Question 983869: You decide to put $150 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate of 2.5% per year and is compounded monthly, how long does it take you to earn $3,000 without depositing any additional funds?
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Question 983935: 16+sqrt(16+sqrt(16+sqrt(16+sqrt(16+(sqrt(16....)
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Question 984020: The function f(x) = 396(3)x represents the growth of a dragonfly population every year in a remote swamp. Pierre wants to manipulate the formula to an equivalent form that calculates every month, not every year. Which function is correct for Pierre's purposes?
a. f(x) = 33(3)x
b. f(x) = 396(312)the x over 12 power
c. f(x) = 396(3 to the one twelfth power)12x
d. f(x) = 4752(3)x

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Question 984015: For the graphed function f(x) = −(5)^x − 3 + 2, calculate the average rate of change from x = 3 to x = 4.
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Question 984012: The pool company developed new chemicals that transform the pH scale. Using the pH function p(t) = −log10t as the parent function, explain which transformation results in a y-intercept and why. You may graph by hand or using technology. Use complete sentences and show all translations on your graph.
p(t) + 1
p(t + 1)
−1 • p(t)

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Question 984432: Please help me solve this equation, please show the working out so I can understand how you got the answer, Thanks!
+%28c%5E5%29%5E2d%5E4x%28c%5E4d%5E-2%29%5E3+

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Question 984498: What is the value of x, to 2 decimal places, if
a^x = b
when a = 69 and b = 759?

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Question 984492: What is the smallest value, to 2 decimal places, in the image set of the function
f(x) = ax^2 + bx + c
when a = 2, b = 4 and c = 121?

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Question 984491: What is the value of x, to 2 decimal places, if
ln(ax) = b
when a = 49.3 and b = 5.6?

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Question 984499: There are two solutions for x to the equation
a|x + b| + c = 0
To 2 decimal places, what is the value of the greater of the two solutions when a = 22, b = 12 and c = -11?

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Question 984499: There are two solutions for x to the equation
a|x + b| + c = 0
To 2 decimal places, what is the value of the greater of the two solutions when a = 22, b = 12 and c = -11?

Click here to see answer by Edwin McCravy(20059) About Me 

Question 984493: What is the x-coordinate, to 2 decimal places, of the vertex (i.e. turning point) of the parabola with equation
y = ax^2 + bx + c
where a = 32, b = -29 and c = 108?

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Question 984553: Solve for x.
125^(4-7x) = 5^(x^2-22x-18)
If there is more than one solution, I need to separate them with commas.

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Question 984610: I need to find what n is in this equation:
+A=P%281-r%29%5En+
How do i find out what n is?
Please show working out.

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Question 984610: I need to find what n is in this equation:
+A=P%281-r%29%5En+
How do i find out what n is?
Please show working out.

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Question 984615: +A=P%281-r%29%5En+
How do i find out what n is?
Please show working out.
+A=38000%281-r%29%5En+
That is all the information i know.
Could you help me?
The question Wants me to develop an algebraic model to approximate the tiger population at any given date?
Tiger population Table:
Years before 1970 | Tiger Population |
0 | 38'000 |
5 | 36'000 |
10 | 30'000 |
15 | 23'000 |
20 | 17'000 |
25 | 13'000 |
30 | 10'000 |
35 | 8'000 |
40 | 7'000 |
Basically so if i type a date in the equation it will give me an approximate population. Could you help me workout this? please go into detail. Also please reply ASAP, as its late and due tommorrow. Thanks :)

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Question 984901: What is the smallest value, to 2 decimal places, in the image set of the function
f(x) = ax^2 + bx + c
when a = 2, b = 4 and c = 121?

i got the answer 119 as the minimum. is it correct?

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Question 984902: What is the value of x, to 2 decimal places, if
ln(ax) = b
when a = 49.3 and b = 5.6?
my answer is 5.49. is it correct?

Click here to see answer by t0hierry(194) About Me 
Question 984902: What is the value of x, to 2 decimal places, if
ln(ax) = b
when a = 49.3 and b = 5.6?
my answer is 5.49. is it correct?

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Question 984959: What is the x-coordinate, to 2 decimal places, of the vertex (i.e. turning point) of the parabola with equation
y = ax^2 + bx + c
where a = 32, b = -29 and c = 108?

Click here to see answer by josgarithmetic(39620) About Me 
Question 984959: What is the x-coordinate, to 2 decimal places, of the vertex (i.e. turning point) of the parabola with equation
y = ax^2 + bx + c
where a = 32, b = -29 and c = 108?

Click here to see answer by MathTherapy(10552) About Me 

Question 984855: Find the points on inflection and discuss the concavity of the function:
f(x)=x sqrt (x+8)

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Question 985134: Please help, thank you!!!
To buy a ticket for a weekly state lottery, a person selects 6 integers from 1 to 36 The order doesn't matter and you can pick any number more than once. There are 1,947,792 such combinations of six digits Mark and nine friends want to win the lottery by buying every possible ticket, and plan to spend 16 hours a day doing it Assume that person buys one ticket every five seconds What do you think of this plan Can the project be completed with in a week?

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Question 985138: Pleaaaase help i really need some one to properly walk through this all. Thank you soooo much !!!!!
At most how many solutions can a quadratic equation have? Give an example of a quadratic equation that has two solutions and show those solutions. Give an example of a quadratic equation that has only one solution and show that solution. Give an example of a quadratic equation that has no solution and explain what that means. Based on thus work, give your definition of the solution of a quadratic equation.

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Question 985263: Given that log x = 5.5 and log y = 1.7, evaluate
log (x^2 y^3)

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Question 985359: I have spent close to two hours trying to work out the following:
12x(squared) + 13x = 4
I have followed the rules and still am unable to solve it correctly. I've come up with 5 incorrect solutions. I am clearly missing something.

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Question 985433: Which expressions are equivalent to the one below? check all that apply. log(10^3)
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Question 985434: Which expressions are equivalent to the one below? check all that apply. log(10^3)
A. 1
B. 3
C. 3*log10
D. 3*10

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Question 985380: Simplify
log x to the base 2 + log 8 to the base x

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Question 985470: Find the real values of x which satisfy the equation.
logx+base3+%2B+log3+base+x+=10%2F3+

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Question 985471: Find the real values x for which: +logxbase5=8log5%2B2basex
Click here to see answer by Edwin McCravy(20059) About Me 

Question 985655: Find the real values of x which satisfy the equation.
log%28x%2C3%29%2Blog%283%2Cx%29=10%2F3

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Question 985654: Find the real values of x which satisfy the equation.
Log[base3]x+log[basex]3=10/3

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Question 986006: Help to solve this equation:
〖log〗_10 x+ 〖log〗_10 2= 〖log〗_10 10-〖log〗_10 1

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Question 986046: I really need help with this.
A driving school has 600 trainees. On one particular day, a small group of trainees thought they heard their instructor said that no one one had managed to pass for their advanced driving techniques course. 24 hours later, a survey of the entire student population revealed that by then 40 students had heard this rumour. The rumour spreads according to the equation, R(t)=600/〖1+75e〗^kt where R(t) is the number of trainees who had heard the rumour, t is the time in hours after the first group of trainees though they heard their instructor and k is a constant.
Find the time needed for 90% of the trainee population to have heard the rumour.

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910