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Popular >

simplify log_{5}(1/x)

Solution

simplify

lo g_{5} (\frac{1}{x})

Solution

- lo g_{5} (x)

Solution steps

lo g_{5} (\frac{1}{x})

Simplify

\frac{1}{x} : x^{- 1}

= lo g_{5} (x^{- 1})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), assuming x > 0

lo g_{5} (x^{- 1}) = - 1 \cdot lo g_{5} (x)

= - 1 \cdot lo g_{5} (x)

Apply rule:

1 \cdot a = a

= - lo g_{5} (x)

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Frequently Asked Questions (FAQ)

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