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Popular >

simplify log_{4}(1/19)

Solution

simplify

lo g_{4} (\frac{1}{19})

Solution

- lo g_{4} (19)

+1

Decimal Notation

- 2.12396 \dots

Solution steps

lo g_{4} (\frac{1}{19})

\frac{1}{19} = 1 9^{- 1}

= lo g_{4} (1 9^{- 1})

Apply log rule:

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

lo g_{4} (1 9^{- 1}) = - 1 \cdot lo g_{4} (19)

= - 1 \cdot lo g_{4} (19)

Apply rule:

1 \cdot a = a

= - lo g_{4} (19)

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Frequently Asked Questions (FAQ)

What is log_{4}(1/19) ?
The solution to log_{4}(1/19) is -log_{4}(19)