Question

expand log a2 b3/c4​

Answer 1

Answer:

Step-by-step explanation:

THis is :

log a2 + log b2 - log c4

Answer 2

Answer:

$log\frac{a^{2}b^{3}}{c^{4} }=2loga+3logb-4logc$

Step-by-step explanation:

Given: $log\frac{a^{2}b^{3}}{c^{4} }$

To expand the given expression.

$log\frac{a^{2}b^{3}}{c^{4} }=log{a^{2}b^{3}c^{-4}}$

Using $logabc=loga+logb+logc$ and $loga^{b}=bloga$ we have:

$log{a^{2}b^{3}c^{-4}}=loga^{2}+ logb^{3}+logc^{-4}$

                 $=2loga+3logb-4logc$

Hence, $log\frac{a^{2}b^{3}}{c^{4} }=2loga+3logb-4logc$.

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