Question

Express in exponential form.

x = logby

Answer 1

x = log (base b) y
The base of the log becomes the base of the exponent.
The x and y switch.
b^x = y

Answer 2

In exponential form given equation is expressed as
`b^x=y`

Explanation:

Given equation is
`x=log_b\,y`

We use the following logarithmic result,

`a^(log_a\,x)=x`

Consider,

`x=log_b\,y`

Take both to the power of b.

`b^(x)=b^(log_b\,y)`

`b^x=y`

Therefore, In exponential form given equation is expressed as
`b^x=y`