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Math Help - simplify number raised to a logarithm exponent

  1. #1
    apm
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    simplify number raised to a logarithm exponent

    3^log325

    thank you
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  2. #2
    Flow Master
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    Quote Originally Posted by apm View Post
    3^log325

    thank you
    Let a^{\log_{a} b} = c. Take log to base a of both sides:

    \log_{a} b = \log_{a} c.

    What do you conclude? So the answer to your question is ......
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  3. #3
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    3^{\log_3{25}} = 25

    Because 3 and \log_3 are inverse operations:

    3^{\log_3{x}} = x

    \log_3{3} = 1

    3^1 = 3 \implies 3^{\log_3{3}} = 3

    EDIT: Mr. F, you're too fast.
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  4. #4
    apm
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    thanks!
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