What is log_{4}(1/(sqrt(8)))*log_{8}(sqrt(256)) ?

The solution to log_{4}(1/(sqrt(8)))*log_{8}(sqrt(256)) is -1

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simplify log_{4}(1/(sqrt(8)))*log_{8}(sqrt(256))

simplify

lo g_{4} (\frac{1}{8}) \cdot lo g_{8} (256)

- 1

Solution steps

lo g_{4} (\frac{1}{8}) lo g_{8} (256)

lo g_{4} (\frac{1}{8}) = - \frac{3}{4}

lo g_{8} (256) = \frac{4}{3}

= - \frac{3}{4} \cdot \frac{4}{3}

Cross cancel:

\frac{a}{b} \cdot \frac{b}{a} = 1

\frac{3}{4} \cdot \frac{4}{3} = 1

= - 1

ln (x + 4) - 3 ln (x) - ln (y)

lo g_{10} (\frac{a c}{b})

lo g_{x} ((a) (4))

lo g_{11} (\frac{x}{7})

lo g_{5} (8 x)

What is log_{4}(1/(sqrt(8)))*log_{8}(sqrt(256)) ?
The solution to log_{4}(1/(sqrt(8)))*log_{8}(sqrt(256)) is -1