SOLUTION: log base 5(x)+log base 25 (125/x)=2

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Question 828310: log base 5(x)+log base 25 (125/x)=2
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
log base 5(x)+log base 25 (125/x)=2
log%285%2C%28x%29%29%2Blog%2825%2C%28125%29%29-log%2825%2C%28x%29%29=2
convert to base 5
=2
log%285%2C%28x%29%29%2B%28log%285%2C%28125%29%29%2F2%29-%28log%285%2C%28x%29%29%2F2%29=2
LCD:2
2log%285%2C%28x%29%29%2B%28log%285%2C%28125%29%29%29-%28log%285%2C%28x%29%29%29=4
log%285%2C%28x%29%29%2Blog%285%2C%28125%29%29=4
log%285%2C%28125x%29%29=4
5^4=125x
125x=625
x=5