What is log_{x}((sqrt(x))/(64)) ?

The solution to log_{x}((sqrt(x))/(64)) is 1/2-6log_{x}(2)

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simplify log_{x}((sqrt(x))/(64))

simplify

lo g_{x} (\frac{x}{64})

\frac{1}{2} - 6 lo g_{x} (2)

Solution steps

lo g_{x} (\frac{x}{64})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{x} (\frac{x}{64}) = lo g_{x} (x) - lo g_{x} (64)

= lo g_{x} (x) - lo g_{x} (64)

lo g_{x} (x) = \frac{1}{2}

lo g_{x} (64) = 6 lo g_{x} (2)

= \frac{1}{2} - 6 lo g_{x} (2)

lo g_{b} (\frac{x y ^{4}}{z ^{4}})

lo g_{a} (x yz)

5 ln ∣ cot (t) ∣ + 5 ln (1 + tan (2) (t))

- lo g_{10} (6.7 \cdot 1 0^{- 4})

ln (2 m^{8})

What is log_{x}((sqrt(x))/(64)) ?
The solution to log_{x}((sqrt(x))/(64)) is 1/2-6log_{x}(2)