  # log(5x+8)=3 - Logarithms

by Hailee
(Michigan)

Solve the following Logarithmic equation for the variable x.

log(5x+8)=3

A logarithm reverses exponentiation.

Use the common logarithm base 10 in your solution.

### Comments for log(5x+8)=3 - Logarithms

 Mar 09, 2012 log(5x+8)=3 by: Staff Question: by Hailee (Michigan) log(5x+8)=3 Answer: log(5x + 8) = 3 log(5x + 8) = log(10³) 5x + 8 = 10³ 5x + 8 = 1000 5x + 8 - 8 = 1000 - 8 5x + 0 = 992 5x = 992 5x/5 = 992/5 x*(5/5) = 992/5 x*(1) = 992/5 x = 992/5 x = 198.4 >>> the final answer is: x = 198.4 ---------------------------------- Check the answer by substituting 198.4 for x in the original equation log(5x + 8) = 3 log(5*198.4 + 8) = 3 log(992 + 8) = 3 log(1000) = 3 log(10³) = 3 3 = 3, OK → x = 198.4 is a VALID solution Thanks for writing. Staff www.solving-math-problems.com

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