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

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

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

simplify

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

lo g_{8} (f) - 2

Solution steps

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

Apply log rule:

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

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

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

lo g_{8} (64) = 2

= lo g_{8} (f) - 2

2 ln (x) + ln (y)

lo g_{b} (\frac{m}{n})

ln (x) - ln (y) + ln (z)

lo g_{4} (\frac{64}{x + 9})

ln (\frac{3 ^{x} 6 ^{2 x}}{2 ^{4 x}})

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