# 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 44952: Solve: (1/5)^(t-2)=125. Round to 4 decimal places if necessary. Click here to see answer by stanbon(57984)

 Question 44954: Express log(6) 19 in terms of common logarithms. Then approximate its value to four decimals places. Click here to see answer by stanbon(57984)

 Question 45013: Solve the equation In(x+5)-In(3)=In(x-3). My answer is 7 could that be right. thanks for any help given. Click here to see answer by Nate(3500)

 Question 45015: The population P of a certain culture is expected to be given by a model P=100e^rt where r is a constant to be determined and t is a number of days since the original population of 100 was established. Find the value of r if the population is expected to reach 200 in 3 days. My answer is 1.098 but I'm not sure if I set this one up right. Thanks for checking. Click here to see answer by Nate(3500)

 Question 45115: Assume that x,y,z, and b are positive numbers and b ≠ 1. Use the properties of logarithms to write each expression in terms of the logarithms of x, y, and z. log xyz Click here to see answer by stanbon(57984)

 Question 45457: My problem is rewrite log8 (xsquared + 1) in terms of natural logarithms. The 8 being the base (small 8 at the bottom of the g) I understand natural logarithms is LN, right? So I turnerd it into 8 to the power of y = x squared + 1. Then from there I am stuck. Where does the LN come in? Click here to see answer by stanbon(57984)
 Question 45457: My problem is rewrite log8 (xsquared + 1) in terms of natural logarithms. The 8 being the base (small 8 at the bottom of the g) I understand natural logarithms is LN, right? So I turnerd it into 8 to the power of y = x squared + 1. Then from there I am stuck. Where does the LN come in? Click here to see answer by Nate(3500)

 Question 46028: one maid can clean the house three times faster than another. Working together they can clean the entire house in 3 hours. How long would it take the faster maid cleaning alone? Click here to see answer by Paul(988)

 Question 46021: Martha can rake the leaves in her yard in 2 hours. Her yonger brother can do the job in 3 hours. How long will it take them to do the job if thy work together? A)5/6hr B)6hr C)3hr D)6/5hr and why? Click here to see answer by Nate(3500)

 Question 46193: Hello. Could you helpe solve this. Find the domain of the function s(x) = log7 (X^2 + 7X + 10). A little explanation will be appreciated. Thanks. Click here to see answer by Nate(3500)

 Question 46523: how would i solve this problem: (-4^2)^-3 that is "(negative 4 squared) raised to the negative 3rd power" incase you didnt get that. i dont know if i add the exponents or multiply them or work it out like this: (-4^2)^-3 (16)^-3 (1/16)(1/16)(1/16)= 1/4096 that just doesnt seem right to me. i really need your help. these summer assignments are killing me. trig is gunna be such a whore next year. Click here to see answer by askmemath(368)

 Question 46518: x^2 + 10x - 47 = 0 round to the nearest thousandth Click here to see answer by checkley71(8403)

 Question 46771: The amount of a radioactive tracer remaining after t days is given by A=A0 e^-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 to decay? 10 days 11 days 12 days 13 days Thanks Click here to see answer by adamchapman(301)

 Question 46770: The amount A in an account after t years from an initial principle P invested at an annual rate r compounded continuously is given by A=Pe^rt where r is expressed as a decimal. How many years will it take an initial investment of \$1,000 to grow to \$1,700 at the rate of 4.42% compounded continuously? a.) 10 years b.) 11 years c.) 12 years d.) 13 years Thank you so very much. Click here to see answer by Nate(3500)

 Question 46769: The amount of a radioactive tracer remaining after t days is given by A=A0 e^-0.18t, where A0 is the starting amount at the beginning of the period. How much should be aquired now to have 40 grams remaining after 3 days? Thanks Choices are: a.) 47.9 gm b.) 48.8 gm c.) 61.6 gm d.) 68.6 gm Click here to see answer by adamchapman(301)

 Question 46800: I have no idea of what to do with this problem. I tried mult both sides by 4 and also tried to get rid of the exponent. Please help! 4^(5-3x)=1/256 Thank you so much. Click here to see answer by tutorcecilia(2152)

 Question 46850: can you tell me which of the following are true?..i have some answers but i want to know if they are correct. 1.)Square root of 1/x = x^-1\2 2.)(x^1/2 + y^1/2)^2 = x+y 3.)1ne^3=3 4.)1n x^2=(1n x)^2 im not too certain about the last two but any help u can offer i will apreciate it! thank you. Click here to see answer by stanbon(57984)

 Question 46797: Calculate the amount in m years if a principal P is invested at a nominal annual interest rate of r compounded as given. Round to the nearest cent. P=\$480, m=4, r=7% compounded quarterly. I have tried several times using info I got from this website to work this problem, but come up with some really far-fetched answers. Maybe I'm missing something along the way. Can anyone give me some specifics on how to set this up? Thanks! Click here to see answer by stanbon(57984)

 Question 46861: i was just wondering how you would write an equation that models the amplitude of the weight A(n) as a function of number of 20-swing periods n Thank you Click here to see answer by adamchapman(301)

 Question 46919: Solve the equation ln(x + 5) - ln(3)=ln(x-3). Click here to see answer by mathchemprofessor(65)
 Question 46919: Solve the equation ln(x + 5) - ln(3)=ln(x-3). Click here to see answer by stanbon(57984)

 Question 46954: If a piece of real estate purchased for \$75,000 in 1998 apppreciates at the rate of 6% per year, then its value t years, then its value t years after the purchase will be f(t)=75,000(1.06t). According to this model, by how much will the value of this piece of property increase between years 2005 and 2008? NOTE: the t in 1.06 is "to the power". Should it be written like (1.06(t))? Click here to see answer by Nate(3500)

 Question 47010: use properties of logarithms to condense the logarithmic expression log3 54-log3 2 Click here to see answer by venugopalramana(3286)

 Question 47145: using properties of logarithms condense the logarithmic expresssion. Write the expression as a single logarithm whose coefficient is 1. where possible, evaluate logarithmic expressions. 3log(subscript x)3 plus log (subscript x)3 Click here to see answer by Nate(3500)

 Question 47139: find a, b and c (constants) of quadratic function y= axsquared + bx +c Such that f(1)=0; f(-1)=8 and f(2)=2 Click here to see answer by Nate(3500)

 Question 47361: What is the domain,range,vertical asymptote and x intercept of the logarithmic function f(x)=log4x Click here to see answer by Nate(3500)