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

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

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

simplify

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

lo g_{9} (x) - 2

Solution steps

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

Apply log rule:

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

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

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

lo g_{9} (81) = 2

= lo g_{9} (x) - 2

lo g_{2 x - 1} (4.5 x)

lo g_{10} (\frac{x}{1 0 ^{- 12}})

ln (1 \cdot 5)

lo g_{5} (7) + lo g_{5} (6)

7 lo g_{b} (y) - \frac{1}{3} lo g_{b} (x) + 5 lo g_{b} (z)

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