Question

expand log(x^2y^3/z^4)
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Answer 1

Answer:

The answer is $2\log x+3\log y-4\log z$

Step-by-step explanation:

       $\log\left(\dfrac{x^2y^3}{z^4}\right)$

 $=\log(x^3y^3)-\log(y^4)$

 $\boxed{\because \log\frac{a}{b}=\log a-\log b}$

$=\log (x^2)+\log (y^3)-\log (z^4)$

 $\boxed {\because \log (ab)=\log a+\log b}$

$=2\log x+3\log y-4\log z$

 $\boxed{\because \log a^n=n\log a}$