Question

Convert logx y = 1/2 to exponential form.

Answer 1

Answer:

Exponential form: y = x^½

Step-by-step explanation:

Given

$log_xy= \frac{1}{2}$

Required:

The exponential form

To convert to an exponential function, we have to take exponents of both sides using the base of the logarithm function.

This gives us

$x^{log_xy}= x^\frac{1}{2}$

Since the base of the exponential function and the logarithm is the same (x), they'll cancel out one another

This leaves us with

$y= x^\frac{1}{2}$

Hence, the exponential form of the expression

$log_xy= \frac{1}{2}$ is $y= x^\frac{1}{2}$