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

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

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

simplify

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

lo g_{9} (g) - 2

Solution steps

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

Apply log rule:

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

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

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

lo g_{9} (81) = 2

= lo g_{9} (g) - 2

ln (3 x y^{2})

3 ln (x) + 2 ln (y) + ln (5)

lo g_{10} (\frac{4 x ^{3}}{y ^{2}})

lo g_{3} (20) - lo g_{3} (4)

ln (\frac{11}{16})

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