SOLUTION: 12^(m+5)=17

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Question 156857: 12^(m+5)=17
Found 2 solutions by jim_thompson5910, Edwin McCravy:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation


Take the log of both sides


Rewrite the left side using the identity


Divide both sides by


Use the change of base formula to rewrite the right side


Subtract 5 from both sides


Use a calculator to evaluate the right side


So the exact answer is which approximates to
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Edwin's solution:

You don't need to go into logs in base 12, just use 
natural logs:



Take natural logs of both sides



Use the rule  on the left:



Divide both sides by 



Add -5 to both sides

 or



Edwin
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