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)   (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)   (Show Source): You can put this solution on YOUR website!
... Start with the given expression.


... Rewrite the first log using the identity


... Combine the logs using the identity


... Rearrange the terms.


So

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