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

Question

asked Dec 22, 2020 193k views

1 Answer

Cnaegle · Answer 1 · 2020-12-27T21:21:48+0000

ANSWER

y= log_(x)(p)

Step-by-step 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)