# Questions on Algebra: Logarithm answered by real tutors!

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 Algebra: Logarithm Solvers Lessons Answers archive Quiz In Depth

 Question 23218: The population of Canada is 30 million people and is growing at an annual rate of 1.4%. The population of Germany is 80 million people and is decreasing at an annual rate of 1.7%. In how many years will the population of Canada be equal to the population of Germany? (Use logarithms to solve the resulting equation and answer accurate to 2 decimal places.) Click here to see answer by rapaljer(4667)

 Question 20998: The ln of e^2y = 2y... So does ln e^3x = 3x? I am just curious...thanx :) Click here to see answer by rapaljer(4667)

 Question 20954: What values of X cannot possibly be solutions of the following equation: log a (3x+1)=2 (note: the "a" is suppossed to be the base of the logarithm) I can not find this in the book. Click here to see answer by venugopalramana(3286)

 Question 20958: Solve using properties of logarithms: log2 (x+1)- log2 x = log2 5 note- the numbers directly following "log" are suppossed to be the spaces. I do not know how to type them to be small and at the bottom Click here to see answer by venugopalramana(3286)

 Question 23360: What is the best solution for 2.3^x = 48 Click here to see answer by rapaljer(4667)

 Question 23372: My assignment was to figure out the formula for measuring sound, and to pick a specific sound, and give the decibels of the sound and explain what this measurement means. I don't even know how to begin. Click here to see answer by stanbon(57361)

 Question 23402: If a bank compouundsinterest annually (once each year), then the amount of money, A, in a bank account is determined by the formula A=p(1=r)^2. Here P= the principal, or the amount invested, r= the rate of interst, and x= the number of years involved. If \$100 is invested at 6% intesrest compunted annually, the amount, A, in the account is found by using the formula A= \$100(1.06)^x. Find the amount of money in this account at the end of: a. 1 year b. 2 years c. 3 years 4. 4 years Click here to see answer by stanbon(57361)

 Question 20957: Use properties of logarithms to solve equation. Express answers to three decimal places. 12. log5 (m-9)=3 (note: 5 is the base of the logarithm) Click here to see answer by rapaljer(4667)

 Question 23922: let log b A=2.758 and log b B=0.176 Find log b AB Click here to see answer by AnlytcPhil(1277)

 Question 23942: I am trying to simplify ln(1/x + x). or ln {(1+x^2)/x} or ln(1+x^2)-ln(x). Standard formulas are available for ln(1+x) and ln x. How do i expand or simplify ln (1+x^2). Thanks. Click here to see answer by AnlytcPhil(1277)

 Question 24003: Find the domain of the function f(x) = log10 (x^-8x+15) Click here to see answer by venugopalramana(3286)

 Question 24227: 2 loga X + loga 2 = loga (5x+3) I thought: X^2 + 2 = 5X+3 X^2 -5X - 1 = 0 The answer is suppose to be 3. I don't understand how to get there since it doesn't factor. Click here to see answer by venugopalramana(3286)

 Question 24765: I need to know an alternate way of expressing a logarithm log m = log a + 3 log l Click here to see answer by longjonsilver(2297)

 Question 24783: how do you solve for x: log(5x)=10, when the base is 2 Click here to see answer by josmiceli(9681)

 Question 24954: differentiating with respect to x a logarthimic terms which is not in base 10. Click here to see answer by stanbon(57361)

 Question 25272: the arithmetic series of numbers 1,3,5,7,9,......find the difference between any 2 terms. using the formula for nth term what is the 101 term what is the sum of the first 20 terms. use the geometric series 1,2,4,8,16.find the ratio between 2 terms. with the formula for nth of the geo series what is the 24th term. Click here to see answer by venugopalramana(3286)

 Question 25356: condense 6lnx-1-ln3. i got ln(x^6/3), but the answer says ln(x^6/3e). where did the e come from? thanks Click here to see answer by venugopalramana(3286)

 Question 25357: ln ((square root x) divided by (y square root z)). i got .5lnx-lny+.5lnz, but the last part is supposed to be -.5lnz. what did i do wrong? thanks Click here to see answer by venugopalramana(3286)
 Question 25357: ln ((square root x) divided by (y square root z)). i got .5lnx-lny+.5lnz, but the last part is supposed to be -.5lnz. what did i do wrong? thanks Click here to see answer by longjonsilver(2297)

 Question 25352: hi i need help with the equation 10^(4log10^3). it asks me to evaluate it, and the anwer is 81. but when i did it i set it = to x, and got 10^x=log10^12.then i got 10^10X=log10^12, in which x=12. Please help me today because i have a test tomorrow! Thanks Click here to see answer by venugopalramana(3286)

 Question 25551: using formula log(b) a= log a/log b find log 2 10000 Click here to see answer by rapaljer(4667)

 Question 25581: i need some help please any one.using the geometric series of numbers 1,1/2,1/4,1/8 what is the ratio between 2 terms,and what would the 10th term be. if on a checker board pennies were placed on all squareseg.1 on first square 2on 2nd. 4 on 3rd.how much would have to be placed on the 32nd.square.thanks in advance for your help. Click here to see answer by longjonsilver(2297)

 Question 26117: I need to know how to evaluate: log base 3 of 1/9. Step By Step Please Click here to see answer by mathrebel(25)

 Question 26121: Can u show me how to evaluate: log base 81 of 9 Click here to see answer by mathrebel(25)

 Question 26122: I need to know how to evaluate: Log base 81 of 9. Step by Step PLease Click here to see answer by mathrebel(25)

 Question 26127: I need to know how to solve for x In this equation: Log base x of 8/27=-3 Step by Step Please. Thanks Click here to see answer by stanbon(57361)

 Question 20619: Here is my question: 1-logx = log(3x-1) I started with: 1 - logx = log3x - log 1 = log4x - log The answer is 2, but I don't know where to go from here! Can anyone help? Thanks! Sandy Click here to see answer by stanbon(57361)

 Question 26295: PLEASE HELP!!! If (log base 3 of x)(log base x of 2x)(log base 2x of y) = log base x of x2, find the value of y. Thanks in advance. Click here to see answer by stanbon(57361)

 Question 26258: Find two consecutive odd integers whose sum is 96 Click here to see answer by elima(1433)

 Question 26262: Find three consecutive integers whose sum is -33 Click here to see answer by elima(1433)