What is log_{16}((9sqrt(m))/n) ?

The solution to log_{16}((9sqrt(m))/n) is 2log_{16}(3)+log_{16}(sqrt(m))-log_{16}(n)

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simplify log_{16}((9sqrt(m))/n)

simplify

lo g_{16} (\frac{9 m}{n})

2 lo g_{16} (3) + lo g_{16} (m) - lo g_{16} (n)

Solution steps

lo g_{16} (\frac{9 m}{n})

Apply log rule:

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

lo g_{16} (\frac{9 m}{n}) = lo g_{16} (9 m) - lo g_{16} (n)

= lo g_{16} (9 m) - lo g_{16} (n)

Simplify

lo g_{16} (9 m) : 2 lo g_{16} (3) + lo g_{16} (m)

= 2 lo g_{16} (3) + lo g_{16} (m) - lo g_{16} (n)

ln (x e^{x}) + ln (\frac{x}{e ^{x}})

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What is log_{16}((9sqrt(m))/n) ?
The solution to log_{16}((9sqrt(m))/n) is 2log_{16}(3)+log_{16}(sqrt(m))-log_{16}(n)