Question

evaluate: log 625/ log√5​

Answer 1

$log(625) = log( { \sqrt{5} }^{8} ) = 8 log( \sqrt{5} )$

$\frac{ log(625) }{ log( \sqrt{5} ) } = \frac{8 \times log( \sqrt{5} ) }{ log( \sqrt{5} ) } = 8$

Answer 2

ANSWER:-

➣

• Given:-

$\large{\frac{ log(625) }{ log( \sqrt{5} ) }}$

SOLUTION:-

$\implies log(625)$

• Can also be written as:-

$\implies log( { \sqrt{5} })^{8}$

$\implies 8 log( \sqrt{5} )$

• Therefore,

$\implies{\large{\frac{ log(625) }{ log( \sqrt{5} ) }}} = \large{ \frac{8 \times log( \sqrt{5} ) }{ log( \sqrt{5} ) }}$

$\bf{\implies{8}}$