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

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

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

simplify

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

lo g_{9} (y) - 2

Solution steps

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

Apply log rule:

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

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

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

lo g_{9} (81) = 2

= lo g_{9} (y) - 2

2 ln (3) - ln (x - 1) + 3 ln (x)

lo g_{4} (\frac{16}{x})

- lo g_{10} (3.2 \cdot 1 0^{- 5})

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