What is expand log_{2}(\sqrt[3]{(x+2)/(4x+5)}) ?

The solution to expand log_{2}(\sqrt[3]{(x+2)/(4x+5)}) is 1/3 log_{2}((x+2)/(4x+5))

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expand log_{2}(\sqrt[3]{(x+2)/(4x+5)})

expand

\frac{1}{3} lo g_{2} (\frac{x + 2}{4 x + 5})

Solution steps

Rewrite as

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

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= \frac{1}{3} lo g_{2} (\frac{x + 2}{4 x + 5})

\frac{m ^{2} + n ^{2} + 25 + 2 mn - 10 m - 10 n}{( m + n - 2 ) ^{2}}

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

(\frac{3}{9} x + \frac{2}{9} y + \frac{4}{9} z)^{3}

0.1 \cdot \frac{1}{6} + (1 - \frac{1}{6}) \cdot \frac{11}{25}

(1 - 3 z i)^{2}

What is expand log_{2}(\sqrt[3]{(x+2)/(4x+5)}) ?
The solution to expand log_{2}(\sqrt[3]{(x+2)/(4x+5)}) is 1/3 log_{2}((x+2)/(4x+5))