SOLUTION: 5^(x-3)*3^(2x-8)=225 X=?

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Question 430877: 5^(x-3)*3^(2x-8)=225
X=?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
5^(x-3)*3^(2x-8)=225
..
Take logs of both sides of equation and using the rules of exponents and multiplication.
(x-3) log5+(2x-8) log3=log225
xlog5-3log5+2xlog3-8log3=log225
xlog5+2xlog3=log225+3log5+8log3
x(log5+2log3)=log225+3log5+8log3
x=(log225+3log5+8log3)/(log5+2log3)=5
Check:
5^2*3^2=25*9=225