SOLUTION: write as a single log: 2log2+3logx-1/2[log(x+3)+log(x-2)]

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Question 56704: write as a single log:
2log2+3logx-1/2[log(x+3)+log(x-2)]
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
write as a single log:
2log%282%29%2B3log%28x%29-%281%2F2%29%28log%28%28x%2B3%29%29%2Blog%28%28x-2%29%29%29
The rules we are going to use are:
highlight%28log%28a%29%2Blog%28b%29=log%28ab%29%29
highlight%28log%28a%29-log%28b%29=log%28a%2Fb%29%29
highlight%28mlog%28a%29=log%28a%5Em%29%29
:
log%282%5E2%29%2Blog%28x%5E3%29-%281%2F2%29%28log%28%28x%2B3%29%28x-2%29%29%29
log%284%29%2Blog%28x%5E3%29-log%28%28%28%28x%2B3%29%28x-2%29%29%29%5E%281%2F2%29%29
log%284%2Ax%5E3%29-log%28sqrt%28%28x%2B3%29%28x-2%29%29%29
highlight%28log%28%284x%5E3%2F%28sqrt%28%28x%2B3%29%28x-2%29%29%29%29%29%29
Happy Calculating!!!