SOLUTION: log(3x)= log 5 + log(x-2)

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Question 260516: log(3x)= log 5 + log(x-2)
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Here is the question
log%283x%29=+log+5+%2B+log%28x-2%29
step 1 subtract log(x-2) to get
log%283x%29+-+log%28x-2%29+=+log%285%29
step 2 - rewrite using rules of logs as
log%283x%2F%28x-2%29%29+=+log%285%29
step 3 - eliminate logs to get
3x%2F%28x-2%29+=+5
step 4 - cross multiply to get
3x+=+5x+-+10
solve for x and we get
x = 5