# Questions on Algebra: Logarithm answered by real tutors!

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 Algebra: Logarithm Solvers Lessons Answers archive Quiz In Depth

 Question 498524: exact value of log4 120 − log4 48 − log4 40 Click here to see answer by lwsshak3(6495)

 Question 497909: Hi, this is review in my Calculus book... Solve: log(base x) (2x-3)=2 for x. I tried doing this: 2x-3=x^2 x^2-2x+3=0 (x-3)(x+1)=0 So x = 3 and x = 1. But then I thought it might be False since if you put 3 and 1 into the first eqation that it wouldn't come out to 2. Thanks for helping Click here to see answer by lwsshak3(6495)

 Question 499032: Write 5(1.06^2x+1)=11 as a logarithmic equation then solve Click here to see answer by lwsshak3(6495)

 Question 499544: Log base 8 *log base 4 *log base 2 *16 Click here to see answer by Alan3354(30993)

 Question 499587: use the change-of-base theorem to find the logarithm. log(4)^9 (simplify your answer. Do not round until the final answer. then round four decimal places as needed.) Click here to see answer by Alan3354(30993)

 Question 501109: 1. There is one x satisfying 5^(−3x−2)=1/78125. Use the rules of exponentiation and logarithms to find this number. The value of x is... 2. There is one x satisfying log3(4x−8)=1. Use the rules of exponentiation and logarithms to find this number. The value of x is... Click here to see answer by lwsshak3(6495)

 Question 501183: If the number 225 is written in exponential form, what is the base? I think the answer is 5 to the 45th power. Click here to see answer by lwsshak3(6495)

 Question 499539: determine the solution of the following logarithmic equation: xlog(x+6)=2 Click here to see answer by lwsshak3(6495)

 Question 501384: how do you make this a single logarithm? ln5 + 5ln3 Click here to see answer by Edwin McCravy(8908)

 Question 503353: express y in term x log y =2 log x Click here to see answer by lwsshak3(6495)

 Question 503492: i need help with 3 + log(2x+5)=2.... can you show me step by step and explain it to me please? Click here to see answer by lwsshak3(6495)

 Question 504499: log base 3 (10x^2-x-2)=2+2*log base 3X solve for x I tried to change the 2*log base 3x into log base 3x^2. Then I think i should try and get the 2 left on the right side of the equation to be a log base 3 to allow the log base 3 to cancel completely out. but I am not sure how to change 2 to a log base 3 if that is the correct step. Any help would be great. Thank you. Click here to see answer by stanbon(57337)

 Question 504519: in studying the frictional effects on a flywheel, the revolutions per minute R that it makes as a function of the time ( in minutes) is given by R = 4520(0.750)^2.50t. Find t for R = 1950 r/min. Click here to see answer by lwsshak3(6495)

 Question 505121: Please help us solve this log. prob my Maths teacher is also confused: log x = 1/3 log 8 + log 9 - 1/3 log 27 Thank you in advance. Click here to see answer by Earlsdon(6287)

 Question 505293: Solve by factoring (please show work) and If you can help with both that would be much appreciated, but if you can only solve one i understand. Click here to see answer by Maths68(1474)

 Question 505296: A Rectangle is 4 times as long as it is wide. A second rectangle is 3 centimeters longer and 2 centimeters wider than the first. The area of the second rectangle is 530 square centimeters greater than the first. What are the dimentions of the original rectangle? Click here to see answer by lwsshak3(6495)

 Question 506555: why can a logarithm, as defined be interpreted as an exponent? Click here to see answer by Gogonati(809)

 Question 506663: Please help me find the domain of g(x)=8+5ln(2x+3) i know that to start off with whatever we have in parenthesis is greater than "0". So 8+5ln(2x+3)>0 but im confused about the rest thank you Click here to see answer by stanbon(57337)

 Question 506868: Verify that equation is identity . sinθ+cosθ=(2sin^2θ - 1)/(sinθ-cosθ) Click here to see answer by jim_thompson5910(28593)

 Question 507156: Express Log48 in a sum of Logarithm 2 Click here to see answer by stanbon(57337)

 Question 507252: Express the given quantity as a single logarithm. 1/9 ln(x + 2)^9 + 1/2[ln x − ln(x2 + 3x + 2)^2] Click here to see answer by stanbon(57337)

 Question 507382: solve for x. log (base 10)(x+3)=log(base 10) (2x) + log (base 10) (5) Click here to see answer by lwsshak3(6495)

 Question 507400: e^ (x+6)= e^(x) + 1 Solve for x Click here to see answer by lwsshak3(6495)