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)   (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)]
---
= 9^9

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Cheers,
Stan H.

Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!

On the exponent, we can use the property of logarithms, to move the 5 into the argument as an exponent:

Since represents the exponent for 9 that results in and since is the exponent on a 9:

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