What is log_{6}((sqrt(f))/(36)) ?

The solution to log_{6}((sqrt(f))/(36)) is log_{6}(sqrt(f))-2

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simplify log_{6}((sqrt(f))/(36))

simplify

lo g_{6} (\frac{f}{36})

lo g_{6} (f) - 2

Solution steps

lo g_{6} (\frac{f}{36})

Apply log rule:

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

lo g_{6} (\frac{f}{36}) = lo g_{6} (f) - lo g_{6} (36)

= lo g_{6} (f) - lo g_{6} (36)

lo g_{6} (36) = 2

= lo g_{6} (f) - 2

- lo g_{10} (2.1 \cdot 1 0^{- 3})

lo g_{3} (7) - lo g_{3} (x)

lo g_{10} (\frac{x ^{2} + y ^{2}}{10000})

lo g_{2} (\frac{( 32 x ^{64} )}{128})

ln (x) - \frac{1}{2} (3 ln (x) + 5 ln (y))

What is log_{6}((sqrt(f))/(36)) ?
The solution to log_{6}((sqrt(f))/(36)) is log_{6}(sqrt(f))-2