SOLUTION: Use the properties of logarithms to write the following expression as a single term that doesn't contain a logarithm. 9^(5log[9](x))

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Question 382188: Use the properties of logarithms to write the following expression as a single term that doesn't contain a logarithm.
9^(5log[9](x))
Found 2 solutions by stanbon, jsmallt9:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use the properties of logarithms to write the following expression as a single term that doesn't contain a logarithm.
9^(5log[9](x))
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= 9^[log9(x^9)]
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= 9^9

====================
Cheers,
Stan H.

Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
9%5E%285log%289%2C+%28x%29%29%29
On the exponent, we can use the property of logarithms, q%2Alog%28a%2C+%28p%29%29+=+log%28a%2C+%28p%5Eq%29%29 to move the 5 into the argument as an exponent:
9%5E%28log%289%2C%28x%5E5%29%29%29
Since log%289%2C%28x%5E5%29%29 represents the exponent for 9 that results in x%5E5 and since log%289%2C%28x%5E5%29%29 is the exponent on a 9:
9%5E%28log%289%2C%28x%5E5%29%29%29+=+x%5E5