Question

find that a to the power of log x base a ? WITH COMPLETE EXPLANATION. THE ANSWER SHOULD BE X BUT I WANT TO KNOW HOW IT COMES??​

Answer 1

Step-by-step explanation:

$let \: {a}^{ log_{a}(x) } = k$

$according \: to \: logarithm \: definition$

$log_{a}(k) = log_{a}(x)$

$taking \: antilog \: on \: both \: sides$

$k = x$

$so \: {a}^{ log_{a}(x) } = x$