SOLUTION: express a single logarithm. 1/2loga+3logb

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Question 225812: express a single logarithm. 1/2loga+3logb
Found 2 solutions by solver91311, nerdybill:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


First use:



to write:



then use the fact that the sum of the logs is the log of the product:




John


Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Applying "log rules"...
.
1/2loga+3logb
.
log a^(1/2) + log b^3
.
log a^(1/2)b^3
.
Or
log+%28b%5E3%2Asqrt%28a%29%29