Question

Express 2logx+3logy=loga in logarithm free form

Answer 1

Step-by-step explanation:

Given,

$2 log(x) + 3 log(y) = log(a)$

$= > log( {x}^{2} ) + log( {y}^{3} ) = log(a)$

$= > {e}^{ (log( {x}^{2} ) + log( {y}^{3} ) ) } = {e}^{ log(a) }$

$= > {e}^{ log( {x}^{2} ) }. {e}^{ log( {y}^{3} ) } = {e}^{ log(a) }$

$= > {x}^{2}. {y}^{3} =a$

Hope this will help you