What is log_{9}((sqrt(f))/(81)) ?

The solution to log_{9}((sqrt(f))/(81)) is log_{9}(sqrt(f))-2

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simplify log_{9}((sqrt(f))/(81))

simplify

lo g_{9} (\frac{f}{81})

lo g_{9} (f) - 2

Solution steps

lo g_{9} (\frac{f}{81})

Apply log rule:

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

lo g_{9} (\frac{f}{81}) = lo g_{9} (f) - lo g_{9} (81)

= lo g_{9} (f) - lo g_{9} (81)

lo g_{9} (81) = 2

= lo g_{9} (f) - 2

lo g_{b} (\frac{x ^{6} - x ^{2} y ^{4}}{y ^{3} z w ^{2}})

lo g_{10} (\frac{3 x ^{4}}{t})

lo g_{2} (\frac{- 3 m ^{2} n ^{4}}{4 p})

lo g_{3} (\frac{27}{x + 2})

ln (5) + 5 ln (3)

What is log_{9}((sqrt(f))/(81)) ?
The solution to log_{9}((sqrt(f))/(81)) is log_{9}(sqrt(f))-2