SOLUTION: Find the exact solution to the equation below. log (x^3) + log (x^4) / log (90x) = 5. X = ?

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Question 844846: Find the exact solution to the equation below.
log (x^3) + log (x^4) / log (90x) = 5.
X = ?

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the exact solution to the equation below.
log (x^3) + log (x^4) / log (90x) = 5.
X = ?
***
%283logx%2B4logx%29%2F%28log90%2Blogx%29=5
3logx%2B4logx=5log90%2B5logx
3logx%2B4logx-5logx=5log90
2logx=5log90
logx=(5/2)log(90)
x=10^(2.5log90)