Question

Solve the question on logarithm

Answer 1

Solution :

$log( \frac{125 \times \sqrt[4]{16} }{ \sqrt[4]{ {81}^{3} } } )$

$log( \frac{125 \times 2}{ {3}^{3} } )$

$log(125 \times 2) - log( {3}^{3} )$

$log(125) + log(2) - 3 log(3)$

$3 \: log(5) + log(2) - 3 \: log(3)$

Logarithm identities used :

→ log x + log y = log xy

→ log x - log y = log x/y

→ log xⁿ = n log x