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

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Question 1106345: 4^(x+1)=23
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Question 1106345: 4^(x+1)=23
Click here to see answer by greenestamps(13200) About Me 

Question 1106348: log↓2(x-4)+log↓2(x)=5
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Question 1106338: Find the inverse.
f(x) = e^x

Click here to see answer by josgarithmetic(39620) About Me 

Question 1106335: Write the inverse of the function.
f(x)=log↓8(x)

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1106331: log (x) 25 = 4
Steps please

Click here to see answer by Alan3354(69443) About Me 

Question 1106333: log↓2(6x-1)-3=2log↓2(x)
I don't even know where to start.

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Question 1106333: log↓2(6x-1)-3=2log↓2(x)
I don't even know where to start.

Click here to see answer by greenestamps(13200) About Me 

Question 1106423: simplify each of the following
#5) log 10^(2x-1)

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Question 1106422: Simplify.
e^lnf(x)
The Lnf(x) thing is ln and f(x) put together,I don't know where to even start with this one.

Click here to see answer by Alan3354(69443) About Me 
Question 1106422: Simplify.
e^lnf(x)
The Lnf(x) thing is ln and f(x) put together,I don't know where to even start with this one.

Click here to see answer by josgarithmetic(39620) About Me 

Question 1106468: log 10^(2x-1)
Click here to see answer by ikleyn(52800) About Me 

Question 1106340: Find the y-intercept and zero(s) of the following algebraically.
y=log↓9[(x+6)/2]

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Question 1106653: Find the equation of the tangent line to 2sinxcosy = 1 at (pi/6, 0).
Click here to see answer by Alan3354(69443) About Me 

Question 935599: How to solve logarithmic trendline equations on Excel.
My equation is y = 0.2084ln(x) + 0.0782 and I need to find the value of x. my value for y is 0.088
I would be grateful if you could help me out.
Thanks in advance for the help.

Click here to see answer by ValerieDavis(6) About Me 

Question 1107574: Public health records indicate that 't' weeks after the outbreak of a certain form of influenza, the number of people who had caught the disease was given by
Q (t)  =  19/(4 + 20e^(−1.5t))
Where Q (t) is given in thousands of people.
If the trend continues, approximately how many people will eventually contract the disease? Round your answer to the nearest person.

Click here to see answer by greenestamps(13200) About Me 

Question 1107734: Given that y=ax^n-23, and that y=4 when x=3 and y=220 when x=9,find the value of a and of n
Click here to see answer by rothauserc(4718) About Me 

Question 1107750: Determine all the values of x for which:
√x^(log10x)=100
(To be read as "the square root of x to the power of log to the base 10 of x, equals 100")
I tried to solve this, but I keep getting different answers. I think x=100, but how do I find the other possible values of x?
Thank you in advance.

Click here to see answer by Theo(13342) About Me 

Question 1108008: The function a*b is defined as a*b = a^2b-a+b.What is the value of 2*(1*(2*(1*(2*1))))?
Click here to see answer by stanbon(75887) About Me 

Question 1108515: 4^-2x+7=32^x-8
Click here to see answer by Alan3354(69443) About Me 

Question 1108517: log 1/5x= -1
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Question 1108744: Can someone help me with this?
Write an exponential function that passes through these points: (0,128) and (5,371,291). The three points in the 2nd set kinda threw me off.

Click here to see answer by ikleyn(52800) About Me 
Question 1108744: Can someone help me with this?
Write an exponential function that passes through these points: (0,128) and (5,371,291). The three points in the 2nd set kinda threw me off.

Click here to see answer by greenestamps(13200) About Me 

Question 1108963: The count in a bateria culture was 400 after 15 minutes and 2000 after 35 minutes. Assuming the count grows exponentially,
What was the initial size of the culture?

Find the doubling period.

Find the population after 110 minutes.

When will the population reach 10000.

Click here to see answer by josgarithmetic(39620) About Me 
Question 1108963: The count in a bateria culture was 400 after 15 minutes and 2000 after 35 minutes. Assuming the count grows exponentially,
What was the initial size of the culture?

Find the doubling period.

Find the population after 110 minutes.

When will the population reach 10000.

Click here to see answer by greenestamps(13200) About Me 

Question 1109319: a tractor cost $10,350 and depreciates in value by 8% per year. How much will the tractor be worth after 5 years?

Click here to see answer by josmiceli(19441) About Me 

Question 1109563: help me solve
Simply the following expressions.
0.5 log 36 + 0.25 log 16 + 2 log 6


Click here to see answer by Ademola(1) About Me 
Question 1109563: help me solve
Simply the following expressions.
0.5 log 36 + 0.25 log 16 + 2 log 6


Click here to see answer by greenestamps(13200) About Me 

Question 1109820: solve 3(2^2x+3)-5(2^x+2)-156=0
Click here to see answer by stanbon(75887) About Me 

Question 1109913: 25×128÷64
Click here to see answer by josgarithmetic(39620) About Me 

Question 1110268: How to solve: e^2x = 3^x+1?
Click here to see answer by Alan3354(69443) About Me 

Question 1110974: differentiate tan3x


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Question 1111331: i would like to ask how to find the decay rate in the exponential decay formula

Click here to see answer by math_helper(2461) About Me 

Question 1111408: 5^x − 45(5^−x) + 4 = 0
Solve the equation. (Enter your answers as a comma-separated list. Round your answers to four decimal places.)

Click here to see answer by ikleyn(52800) About Me 

Question 1111532: 6^10x − 6^5x − 30 = 0
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Question 1111531: log(x) + log(x − 48) = 2
Click here to see answer by josgarithmetic(39620) About Me 
Question 1111531: log(x) + log(x − 48) = 2
Click here to see answer by ikleyn(52800) About Me 

Question 1111530: ln(x − 5) + ln(x + 6) = 1

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1111654: Log10(xsquaare-4x+7)=2
Click here to see answer by rothauserc(4718) About Me 

Question 1111669: writen in logarithm form.
1/81=3^-4

Click here to see answer by Theo(13342) About Me 
Question 1111669: writen in logarithm form.
1/81=3^-4

Click here to see answer by TeachMath(96) About Me 

Question 1111671: inverse of y=log(x-7)
Click here to see answer by greenestamps(13200) About Me 

Question 1111813: 24^3 = 2^p x 3^q, find the values of p and q
Click here to see answer by josgarithmetic(39620) About Me 

Question 1111963: If ln a = 2, ln b = 3, and ln c = 5, evaluate the following:
(a) \ln (\frac{a^{-4} }{b^{-4}c^{4}} ) =
(b) \ln \sqrt{ b^{-2}c^{2}a^{3}} =
(c) \frac{\ln (a^{4}b^{-4})}{\ln(bc)^{2}} =
(d) (\ln\ c^{-3})(\ln \frac{a}{b^{-1}})^{3} =

Click here to see answer by Alan3354(69443) About Me 

Question 1112253: 7. Evaluate the function below over the domain {-1, 0,
1, 2}. As the values of the domain increase, do the
values of the function increase or decrease?
y = (3/4)ˣ
8. Suppose an investment of $5,000 doubles every 12
years. How much is the investment worth after 36
years? After 48 years?
Write and solve an exponential equation.
9. Does the function represent exponential growth or
exponential decay? Identify the growth or decay
factor.
= 9 ∙ (1/2)ˣ

Click here to see answer by stanbon(75887) About Me 

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