Question

expand the following log root a cube b ​

Answer 1

Step-by-step explanation:

The expand of a cbe is b squre

Answer 2

$Expansion \:of \: log \: \sqrt{ a^{3} b }$

$= log \: ( a^{3} b ) ^{\frac{1}{2}}$

$= \frac{1}{2} ( log \: a^{3} b )$

$\boxed{ \because log m^{n} = n log m }$

$= \frac{1}{2} ( log a^{3} + log b )$

$\boxed{ \because log (mn) = log m + log n }$

$= \frac{1}{2} ( 3log a+ log b )$

$= \frac{3}{2}log a+ \frac{1}{2} log b$

Therefore.,

$\red{Expansion \:of \: log \: \sqrt{ a^{3} b }}$

$\green {= \frac{3}{2}log a+ \frac{1}{2} log b }$

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