Question

expand the following using logarithm formulae
1. K = PV^Y

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Answer 1

SOLUTION

TO EXPAND

Using logarithm formulae

$\sf{K = P{V}^{ \gamma} }$

EVALUATION

Here the given expression is

$\sf{K = P{V}^{ \gamma} }$

Taking logarithm in both sides we get

$\sf{ \log \: K = \log (P{V}^{ \gamma}) }$

$\sf{ \implies \: \log (P{V}^{ \gamma}) =\log \: K }$

$\sf{ \implies \: \log P +\log ({V}^{ \gamma}) =\log \: K }$

$\sf{ \implies \: \log P +\gamma\log \:V =\log \: K }$

Which is the required expression

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