SOLUTION: log(2x-5)-log(x-3)=1 I need to know what steps to take to get the answer. Thank you!

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Question 748326: log(2x-5)-log(x-3)=1

I need to know what steps to take to get the answer. Thank you!
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
log%282x-5%29-log%28x-3%29=1


%0D%0Alog%28%282x-5%29%2F%28x-3%29%29=1%0D%0A


%0D%0A10%5Elog%28%282x-5%29%2F%28x-3%29%29=10%5E1%0D%0A


%0D%0A%282x-5%29%2F%28x-3%29=10%0D%0A
2x-5=10%28x-3%29%0D%0A
2x-2x-5%2B30=10x-2x-30%2B30


so that 8x=25 and x=25/8

:)