SOLUTION: solve: 3^(5+4x)=5^x please show work

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Question 1139664: solve: 3^(5+4x)=5^x please show work
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

3%5E%285%2B4x%29=5%5Ex+....take the common logarithm of both sides
log%283%5E%285%2B4x%29%29=log%285%5Ex%29+...apply the rule log%28a%5Eb%29=b%2Alog%28a%29
%285%2B4x%29log%283%29=x%2Alog%285%29+
%285%2B4x%29%2Fx=log%285%29%2Flog%283%29+
5%2Fx%2B4=log%285%29%2Flog%283%29+
5%2Fx=log%285%29%2Flog%283%29+-4
5=x%28log%285%29%2Flog%283%29+-4%29
x=5%2F%28log%285%29%2Flog%283%29+-4%29
x=-1.97237%29