SOLUTION: solve for x Loga(5x-1)2 = loga10x-5

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Question 242860: solve for x
Loga(5x-1)2 = loga10x-5
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
log%28a%2C%285x-1%29%5E2%29=log%28a%2C10x-5%29

%285x-2%29%5E2+=+10x-5
25x%5E2+-20x+%2B4=+10x+-5
25x%5E2+-30x+%2B9=0
%285x-3%29%285x-3%29=0
5x=3
x=3%2F5

Now you MUST check this answer in the original equation to make sure you don't have any logs of negative numbers. In this case, your answer checks okay!

Dr. Robert J. Rapalje, Retired