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

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 Algebra: Exponent and logarithm as functions of power Solvers Lessons Answers archive Quiz In Depth

 Question 62633: What is the domain and range of the following function. y=-2^x+1 Click here to see answer by funmath(2925)

 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 Click here to see answer by funmath(2925)

 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? Click here to see answer by josmiceli(9676)

 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. Click here to see answer by josmiceli(9676)
 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. Click here to see answer by uma(370)

 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? Click here to see answer by funmath(2925)

 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. Click here to see answer by joyofmath(189)

 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. Click here to see answer by joyofmath(189)

 Question 62869: 4^-x=64 3/2 4 to the negative "x" equals 64 and 3 halves Click here to see answer by stanbon(57342)

 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 Click here to see answer by stanbon(57342)

 Question 63069: pn+3(5pn-2 + p1-n) operate and simplify completely. Do not factor Click here to see answer by Edwin McCravy(8909)

 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? Click here to see answer by funmath(2925)

 Question 46500: Please show me how to evaluate this without using a calculator? log5 20 . log20 60. log60 100 . log100 125. Thanks! Click here to see answer by joyofmath(189)

 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 Click here to see answer by ankor@dixie-net.com(15651)

 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 Click here to see answer by stanbon(57342)

 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? Click here to see answer by joyofmath(189)

 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. Click here to see answer by stanbon(57342)

 Question 63817: slove algebraically 3^2x+1=1/243 that is 3 to the power of 2x+1 equals 1 over 243 Click here to see answer by ankor@dixie-net.com(15651)

 Question 63941: solve log base is 3.4 ans is 5 and exponent is 2x-1 Click here to see answer by funmath(2925)

 Question 63881: Find E^x for the following set of numbers: –3.5, –1.4, –0.5, 3, 5, 1, 2 Click here to see answer by funmath(2925)

 Question 63849: slove algebraically log base 4 (x+41)- log base 4(2x-5)=2 Click here to see answer by funmath(2925)
 Question 63849: slove algebraically log base 4 (x+41)- log base 4(2x-5)=2 Click here to see answer by rahman(247)

 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. Click here to see answer by stanbon(57342)

 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)

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