What is log_{8}((sqrt(z))/(64)) ?

The solution to log_{8}((sqrt(z))/(64)) is log_{8}(sqrt(z))-2

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simplify log_{8}((sqrt(z))/(64))

simplify

lo g_{8} (\frac{z}{64})

lo g_{8} (z) - 2

Solution steps

lo g_{8} (\frac{z}{64})

Apply log rule:

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

lo g_{8} (\frac{z}{64}) = lo g_{8} (z) - lo g_{8} (64)

= lo g_{8} (z) - lo g_{8} (64)

lo g_{8} (64) = 2

= lo g_{8} (z) - 2

lo g_{5} (4 x^{7})

lo g_{2} (\frac{3}{2 x})

lo g_{a} (\frac{x ^{4}}{y ^{2} a ^{7}})

ln (\frac{e ^{6}}{10})

lo g_{3} (6) + 2 lo g_{3} (x) + \frac{1}{2} lo g_{3} (9)

What is log_{8}((sqrt(z))/(64)) ?
The solution to log_{8}((sqrt(z))/(64)) is log_{8}(sqrt(z))-2