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Popular >

simplify log_{5}(1/2)

Solution

simplify

lo g_{5} (\frac{1}{2})

Solution

- lo g_{5} (2)

+1

Decimal Notation

- 0.43067 \dots

Solution steps

lo g_{5} (\frac{1}{2})

\frac{1}{2} = 2^{- 1}

= lo g_{5} (2^{- 1})

Apply log rule:

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

lo g_{5} (2^{- 1}) = - 1 \cdot lo g_{5} (2)

= - 1 \cdot lo g_{5} (2)

Apply rule:

1 \cdot a = a

= - lo g_{5} (2)

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Frequently Asked Questions (FAQ)

What is log_{5}(1/2) ?
The solution to log_{5}(1/2) is -log_{5}(2)