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

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

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expand log_{3}((sqrt(y))/9)

expand

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

lo g_{3} (y) - 2

Solution steps

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

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

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

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

lo g_{3} (9) = 2

= lo g_{3} (y) - 2

lo g_{10} ((u v^{5})^{3})

- ln (\frac{0.8 - \frac{3}{5}}{1 - \frac{3}{5}})

ln (\frac{30000}{25000})

\frac{3 ln ( 5 ) - 3 ln ( 7 )}{2 ln ( 7 ) - ln ( 5 )}

ln (\frac{2 i + 1}{- 1})

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