Answer:
Exponential form: y = x^½
Step-by-step explanation:
Given
[tex]log_xy= \frac{1}{2}[/tex]
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
[tex]x^{log_xy}= x^\frac{1}{2}[/tex]
Since the base of the exponential function and the logarithm is the same (x), they'll cancel out one another
This leaves us with
[tex]y= x^\frac{1}{2}[/tex]
Hence, the exponential form of the expression
[tex]log_xy= \frac{1}{2}[/tex] is [tex]y= x^\frac{1}{2}[/tex]
