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Popular >

simplify log_{b}(1/6)

Solution

simplify

lo g_{b} (\frac{1}{6})

Solution

- lo g_{b} (6)

Solution steps

lo g_{b} (\frac{1}{6})

\frac{1}{6} = 6^{- 1}

= lo g_{b} (6^{- 1})

Apply log rule:

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

lo g_{b} (6^{- 1}) = - 1 \cdot lo g_{b} (6)

= - 1 \cdot lo g_{b} (6)

Apply rule:

1 \cdot a = a

= - lo g_{b} (6)

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Frequently Asked Questions (FAQ)

What is log_{b}(1/6) ?
The solution to log_{b}(1/6) is -log_{b}(6)