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

Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)

Question 62633: What is the domain and range of the following function. y=-2^x+1
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Question 62615: amount A in an account after t years from the initial principle P invested at the annual rate r compounded continuously is given by A=Pe^rt where r is expressed as a decimal. solve the formula for t in terms of A,P,and r
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Question 62613: the amount A in an account after t years of an initial principle P invested at an annual rate r compounded continously is given by A=Pe^rt where r is expressed as a decimal. What is the amount in the account if $500 is invested for 10 years at the annual rate of 5% compounded continously?
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Question 62666: The inflation rate is 3.5% each year. If the cost of car is $10,000, find a function c(t) that gives cost of the car t years from now.
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Question 62666: The inflation rate is 3.5% each year. If the cost of car is $10,000, find a function c(t) that gives cost of the car t years from now.
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Question 62668: A culture of bacteria obeys the law f(t)=f(0)*e^0.47t . If 500 bacteria are present initially, and there are 800 after 1 hour, how many will be present in the culture after 6 hours?
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Question 62738: logx= 4.52

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Question 62738: logx= 4.52

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Question 62740: 10^6x-3=100,000
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Question 62740: 10^6x-3=100,000
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Question 62740: 10^6x-3=100,000
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Question 62739: log(50x+883.9)=3
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Question 62737: log1/4y=-2/3
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Question 62737: log1/4y=-2/3
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Question 62745: logx(9)=-1/3
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Question 62745: logx(9)=-1/3
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Question 62747: Solve for x. round your answer to the nearest hundredth. 2.7^x-25=12
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Question 62744: Suppose $2500 is invested at 4% interest, compounded quarterly. How much is the investment worth after 6 years? Round your answer to the nearest cent.
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Question 62743: Suppose $500 is invested at 6.5% interest, compounded monthly. How much is the investment worth after 10 years? Round to the nearest cent.
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Question 62871: -3=logb1/27
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Question 62866: 2^3x=128
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Question 62868: log20x-log2=0.6180
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Question 62867: 3logx+3=1
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Question 62869: 4^-x=64 3/2
4 to the negative "x" equals 64 and 3 halves
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Question 62986: Simplify: log9(9^2x-3)
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Question 63012: Simplify each expression, if possible
(27/8)^-4/3
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Question 63048: find exact solution to equation 3^x+5=9^x
This is what I did
3^x+5=3^3x
x+5=3x
5=2x
=5/2
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Question 63068: (p+10y)^6
expand using pascal's triangle.
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Question 63069: pⁿ⁺³(5p^n-2 + p^1-n)
operate and simplify completely. Do not factor
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Question 63050: amount of a radioactive tracer remaining after t days is given by A=A0e^-0.058t, where A0 is the starting amount at the beginning of the time period. how many days will it take for one half of the original amount of decay?
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Question 46500: Please show me how to evaluate this without using a calculator?
log5 20 . log20 60. log60 100 . log100 125.
Thanks!
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Question 63274: use a calculator to evaluate f(x)= e^x/4 for x=6, state your answer acurate to five decimal places
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Question 63196: identify the exponential function of the form f(x)=a(2^x)+b whose graph is shown in figure.
info:
2 points on graph (0,-2), (2,1)
y=-3

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Question 63304: find N base 0 and k in the exponential function N(t)= N base 0e^kt, given that N(0) = 11 and N(4) = 5. state k acurate to six decimal places
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Question 63648: hi, i just took the practice SAT on collegeboard.com, and one problem really stumped me. here it is:
(2x)^(3y) - (2x)^y
the answer that was given was:
(2x)^y [{(2x)^(2y)}-1]
i may or may not have typed the answer incorrectly, i don't know how to. :P
what i thought was the answer was: (2x)^2y
why not?
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Question 63852: find the balance (to the nearest cent) if $3680 is invested at an annual interest rate of 7.2% for 6 years, compound continuosly.
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Question 63817: slove algebraically 3^2x+1=1/243 that is 3 to the power of 2x+1 equals 1 over 243
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Question 63851: slove algebraically log5 + log (4-2x)= log(x-1)
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Question 63941: solve
log base is 3.4 ans is 5 and exponent is 2x-1
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Question 63881: Find E^x for the following set of numbers:
–3.5, –1.4, –0.5, 3, 5, 1, 2

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Question 63849: slove algebraically log base 4 (x+41)- log base 4(2x-5)=2
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Question 63849: slove algebraically log base 4 (x+41)- log base 4(2x-5)=2
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Question 64047: Hello!
Here is the information I have been given, an explanation of what I need to do, what I understand and what I don't.
Please help!
Thanks for looking at this problem!
Time /Temp
5 /55.7
15 /49.1
25 /42.8
35 /37
50 /29.9
60 /25.8
70 /22.4
80 /19.2
90 /16.4
100 /14.1
120 /10.3
140 /7.4
150 /6.1
170 /4
180 /3.3
The instructions tell me to calculate a linear regression line and then and from that to write an exponential equation that will match the original data.
I get how to figure out the linear regression line.
in form I get
I don't understand how to derive an exponential equation from this information.
Thanks Again
Click here to see answer by stanbon(57342)

Question 64072: Table: Anmial C W
Mouse 5.5 0.047
Guinea Pig 15 .385
Otter 28 9.68
Cheetah 68.7 38
Warthog 72 90.5
Lion 97 134.5
Grizzly Bear 106.5 256
Horse 135 301
Giraffe 173 710
Story Problem: The femur is a large bone found in the leg or hind limb of an animal. When finding animal remains, Scinetist use the circumferrence (distance around) of an animal's femur to estimate the animal's weight. The table below shows the femur circumference C(in millimeters) and the weight W (in kilograms) of several animals.
Problem: Use the graphing calculator to find a linear regression model fo the data. (A). Write the exponential Function (B.) Is this a good fit for the data? Explain.
Help me!! I have no clue how to do this.
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Question 64069: How am I supposed to solve this story problem? Instructions say: Use the grid below to create a scatter plot of the data. Represent C along the X axis and W along the y axis.
Story Problem: The femur is a large bone found in the leg or hind limb of an animal. When finding animal remains, Scientists use the circumference of an animal's femur to estimate the anmal's weight. The table below shows the femur circumference C(in millimeters) and the weight W (in kilogramms) of several animals.
Table: Anmial C W
Mouse 5.5 0.047
Guinea Pig 15 .385
Otter 28 9.68
Cheetah 68.7 38
Warthog 72 90.5
Lion 97 134.5
Grizzly Bear 106.5 256
Horse 135 301
Giraffe 173 710
Click here to see answer by stanbon(57342)

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