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

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

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

simplify

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

lo g_{9} (z) - 2

Solution steps

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

Apply log rule:

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

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

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

lo g_{9} (81) = 2

= lo g_{9} (z) - 2

lo g_{5} ((u v^{5})^{2})

4 lo g_{3} (x) - 4 lo g_{3} (y)

lo g_{a} (4 a)

lo g_{10} (\frac{b ^{3} c ^{7}}{a ^{3}})

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