What is expand log_{4}(\sqrt[3]{c^2d^{15}}) ?

The solution to expand log_{4}(\sqrt[3]{c^2d^{15}}) is 5log_{4}(d)+2/3 log_{4}(c)

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expand log_{4}(\sqrt[3]{c^2d^{15}})

expand

5 lo g_{4} (d) + \frac{2}{3} lo g_{4} (c)

Solution steps

Apply log rule:

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

Apply log rule:

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

Apply log rule:

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

Simplify

= lo g_{4} (d^{5}) + \frac{1}{3} lo g_{4} (c^{2})

lo g_{4} (d^{5}) = 5 lo g_{4} (d)

\frac{1}{3} lo g_{4} (c^{2}) = \frac{2}{3} lo g_{4} (c)

= 5 lo g_{4} (d) + \frac{2}{3} lo g_{4} (c)

(t + 1)^{\frac{2}{3}} (2 t^{2} - 1)^{3}

6 (6 sec^{2} (3 x - 2) tan^{2} (3 x - 2) + 3 sec^{4} (3 x - 2))

(3 x - 10 y) (\frac{y}{2} + x^{2})

(2 x - 4) (2 x + 4)

\frac{( 2 e ^{x} + 2 e ^{2} x ) x}{( 1 + e ^{x} ) ^{2}}

What is expand log_{4}(\sqrt[3]{c^2d^{15}}) ?
The solution to expand log_{4}(\sqrt[3]{c^2d^{15}}) is 5log_{4}(d)+2/3 log_{4}(c)