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Popular >

simplify b^{-log_{b}(1/x)}

Solution

simplify

b^{- l o g_{b} (\frac{1}{x})}

Solution

x

Solution steps

b^{- l o g_{b} (\frac{1}{x})}

Apply exponent rule:

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

= \frac{1}{b ^{l o g_{b} (\frac{1}{x})}}

b^{l o g_{b} (\frac{1}{x})} = \frac{1}{x}

= \frac{1}{\frac{1}{x}}

Simplify

= x

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Frequently Asked Questions (FAQ)

What is b^{-log_{b}(1/x)} ?
The solution to b^{-log_{b}(1/x)} is x