# Questions on Algebra: Logarithm answered by real tutors!

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 Algebra: Logarithm Solvers Lessons Answers archive Quiz In Depth

 Question 606711: Log 5 (1/125)=x-1 can someone help me solve for x? *note, the "5" is supposed to be the little number that hangs beside the log and the "(1/125)" is supposed to be the big number beside it but I didn't know how to make it look like that on here. Click here to see answer by solver91311(16885)

 Question 606723: Can you help me solve 2^2x+1=15 for x. Click here to see answer by lwsshak3(6505)

 Question 606667: The population in Cleveland (in thousands) can be modeled by the equation P(t)=22e^0.014(t) What is the doubling time of Cleveland's population to the nearest month? I understand how to do these when you have a population number, but this question doesn't. Help please! Click here to see answer by lwsshak3(6505)

 Question 607049: Use the rational zeros theorem to find all the zeros of the polynomial d(x)= 4X^3-4X^2-7X-2. Use the zeros to factor d over the real number. Be sure to state all the potential rational zeros as well Click here to see answer by lwsshak3(6505)

 Question 607043: write the expression 1/3ln(x^2+1)-4ln3-5[ln(x-4)+lnx] as a single logarithm. Click here to see answer by lwsshak3(6505)

 Question 607265: Contract the expression. That is, use the properties of logarithms to write each expression as a logarithm with a coefficient of 1. ln(3)-2ln(4+8) Click here to see answer by lynnlo(4164)

 Question 607289: Graph the function q(x)= -x^2-10x-16 by first: a) determine whether it opens up or down b) finding its vertex and axis of symmetry c) finding its x- and y- intercepts and a few more points to connect the graph Click here to see answer by lynnlo(4164)

 Question 607337: Rewrite 2 log(5x) + 4 log(3x) - 2 log(45x) as one simplified logarithm. Click here to see answer by ewatrrr(10682)

 Question 607288: Graph the function f(x)= -x, X<3, 3x-4, x>= 3 a) fund the domain b) locate any intercepts c) graph the function d) find the range e) is f continuous on its domain? Click here to see answer by KMST(1868)

 Question 607285: Use the function f(x)= 4 +ln(3x) to : a) Find the domain of f b) graph f c) states any asymptotes of f d) find the f^-1, the inveerse of f e) Use f^-1 to find range of f f) Graph f^-1 Click here to see answer by ewatrrr(10682)

 Question 607403: Solving exponential equations with logs. Help Me understand this! 5^x+2=10^2x Click here to see answer by lynnlo(4164)

 Question 607415: I would like to know now to rewrite the expression log(10000), in terms of log(2) and log(5). Click here to see answer by lynnlo(4164)

 Question 606592: Hello iam currently taking a college algebra class and my professor gave me this bonus problem y=log9(log 8(log 7(log 6(log 5(x)))))) and find the domain of dy/dx. i have no idea where or how to begin this problem any help is appreciated. Click here to see answer by richard1234(5390)

 Question 607506: Write ln(x) - ln(100) = -.08t in an exponential form that is free of logarithms. Click here to see answer by nerdybill(6958)

 Question 607504: Solve each Equation for X (Exact answers, no decimals, Show work) (a) x^2e^x-5xe^x = 0 (b) 10^logx = 33 (c) logxe^5 = 5 (d) lne^(2-x) = 12 (e) logx + log(3x-13) = 1 Click here to see answer by richwmiller(9135)

 Question 607344: write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of In(x) in your answer.) log8.9(124) give a calculator approximation (correct to four decimal places) Click here to see answer by jsmallt9(3296)

 Question 607629: Solve the equation for x (Show work) Exact answers (no decimals) 10^logx = 33 Click here to see answer by Yemi(10)

 Question 607657: how do I solve 3^x=0.4 when using natural logarithms Click here to see answer by jerryguo41(162)

 Question 607675: Hello, i just need a little help on a logarithmic problem. I am unawre of the difference between ln and log. the problem is: ln 5+(1/2)ln y-3ln(z+1) and the problem says 'rewrite expression as a single logarithm. thanks for your help Click here to see answer by jim_thompson5910(28595)

 Question 607627: Solve the equation for x (Show work! Exact Answers) x^2e^x - 5xe^x = 0 Click here to see answer by jim_thompson5910(28595)

 Question 607755: Solve the logarithmic equation. log5(x - 2) = 2 + log5(x - 4) Click here to see answer by jsmallt9(3296)

 Question 607844: John owns a hotdog stand. He has found that his profit is represented by the equation P(x)=-x^2+64x+72, with P being profits and x the number of hotdogs sold. How many hotdogs must he sell to earn the most profit? Click here to see answer by ewatrrr(10682)

 Question 607678: a food is dropped on the floor and is growing bacteria exponentially according to the model y=2e^kt where t is time in seconds if there are 2 cells initially and 8 cells after 20 seconds, find the value of k for the bacteria and frind how much bacteria is on the food after 5 seconds Click here to see answer by ankor@dixie-net.com(15652)

 Question 607839: solve the equation. express irrational answers in exact form and as a decimal rounded to 3 decimal places. A) (4/3)^x=3^(1-x) B) ln(x)+ln(x+5)=-1 Click here to see answer by lynnlo(4164)