SOLUTION: how do you write 4log3^x + log3^7 as a single log?

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Question 197682: how do you write 4log3^x + log3^7 as a single log?
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write 4log3^x + log3^7 as a single log
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log3^(4x) + log3^7
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= log[3^(4x)*3^7]
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= log[3^(4x+7)]
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Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
... Start with the given expression.


... Rewrite the first log using the identity y%2Alog%28b%2C%28x%29%29=log%28b%2C%28x%5Ey%29%29


... Combine the logs using the identity log%28b%2C%28A%29%29%2Blog%28b%2C%28B%29%29=log%28b%2C%28A%2AB%29%29


... Rearrange the terms.


So