SOLUTION: Solve for x: {{{2log(7,(x))=2+log(7,(16))}}}

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Question 130682: Solve for x:


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


Rewrite the left side using the identity


Subtract from both sides


Combine the logs using the identity



Rewrite the equation using the property: ====>


Evaluate to get 49


Multiply both sides by 16


Take the square root of both sides


Take the square root of 784 to get 28



----------------------------

Answer:

So the solution is



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