Question

X^y=p Express in logarithmic form for the base.

Answer 1

ANSWER

$y= log_{x}(p)$

EXPLANATION

The given expression is

${x}^{y} = p$

We take logarithm of both sides to base x.

$log_{x}( {x}^{y} ) = log_{x}(p)$

Apply the power rule of logarithms to get:

$ylog_{x}( {x}) = log_{x}(p)$

Logarithm of the base is 1.

This implies that,

$y( 1) = log_{x}(p)$

$y= log_{x}(p)$