What is expand log_{6}(\sqrt[4]{9w}) ?

The solution to expand log_{6}(\sqrt[4]{9w}) is 1/4 log_{6}(w)+1/2 log_{6}(3)

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expand log_{6}(\sqrt[4]{9w})

expand

\frac{1}{4} lo g_{6} (w) + \frac{1}{2} lo g_{6} (3)

Solution steps

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

Simplify

lo g_{6} (3) : \frac{1}{2} lo g_{6} (3)

= \frac{1}{4} lo g_{6} (w) + \frac{1}{2} lo g_{6} (3)

\frac{1}{( z + 1 ) ( z - 1 )}

\frac{( x ^{2} + 5 x + 9 ) ^{n} + x ^{2} ( x + 5 ) ^{2} + 2}{x ^{2} + 5 x + 8}

x ((x - 1) (x - 2))

\frac{d}{d t} ((t) (k (M - t)))

\frac{2 x ^{5} + x ^{4} + 4 x ^{3} + 3 x ^{2} - 24 x}{( x ^{2} + 1 ) ^{2}}

What is expand log_{6}(\sqrt[4]{9w}) ?
The solution to expand log_{6}(\sqrt[4]{9w}) is 1/4 log_{6}(w)+1/2 log_{6}(3)