SOLUTION: log(2x+1)-log(3x-2)=1

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Question 917068: log(2x+1)-log(3x-2)=1
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

+log%28%282x%2B1%29%29-log%28%283x-2%29%29=1+

log%28%282x%2B1%29%2F%283x-2%29%29=1 ...in base 10 we will have

log%28%282x%2B1%29%2F%283x-2%29%29%2Flog%2810%29=1

log%28%282x%2B1%29%2F%283x-2%29%29=log%2810%29 ....if log same, then

%282x%2B1%29%2F%283x-2%29=10

%282x%2B1%29=10%283x-2%29

2x%2B1=30x-20

20%2B1=30x-2x

21=28x

21%2F28=x

3%2F4=x