What is log_{3}((sqrt(x))/9) ?

The solution to log_{3}((sqrt(x))/9) is log_{3}(sqrt(x))-2

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simplify log_{3}((sqrt(x))/9)

simplify

lo g_{3} (\frac{x}{9})

lo g_{3} (x) - 2

Solution steps

lo g_{3} (\frac{x}{9})

Apply log rule:

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

lo g_{3} (\frac{x}{9}) = lo g_{3} (x) - lo g_{3} (9)

= lo g_{3} (x) - lo g_{3} (9)

lo g_{3} (9) = 2

= lo g_{3} (x) - 2

3 (lo g_{6} (x) + 3 lo g_{6} (y) - 5 lo g_{6} (z))

ln (9) - ln (4)

lo g_{2} (8 x) \frac{1}{3}

ln (\frac{2}{9})

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

What is log_{3}((sqrt(x))/9) ?
The solution to log_{3}((sqrt(x))/9) is log_{3}(sqrt(x))-2