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Popular >

simplify 5^{-log_{5}(3)}

Solution

simplify

5^{- l o g_{5} (3)}

Solution

\frac{1}{3}

+1

Decimal Notation

0.33333 \dots

Solution steps

5^{- l o g_{5} (3)}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{5 ^{l o g_{5} (3)}}

5^{l o g_{5} (3)} = 3

= \frac{1}{3}

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Frequently Asked Questions (FAQ)

What is 5^{-log_{5}(3)} ?
The solution to 5^{-log_{5}(3)} is 1/3