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Popular >

simplify log_{4}(1/16 x)

Solution

simplify

lo g_{4} (\frac{1}{16} x)

Solution

- 2 + lo g_{4} (x)

Solution steps

lo g_{4} (\frac{1}{16} x)

\frac{1}{16} = 4^{- 2}

= lo g_{4} (4^{- 2} x)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{4} (4^{- 2} x) = lo g_{4} (4^{- 2}) + lo g_{4} (x)

= lo g_{4} (4^{- 2}) + lo g_{4} (x)

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{4} (4^{- 2}) = - 2

= - 2 + lo g_{4} (x)

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Frequently Asked Questions (FAQ)

What is log_{4}(1/16 x) ?
The solution to log_{4}(1/16 x) is -2+log_{4}(x)