Question

Write the equation in exponential form.

log4116 = −2

Answer 1

The answer is
`4^(-2)=\frac {1}{16}`.


`log_4 \frac {1}{16}=-2`

The subscript for log is 4, which is the base of the exponent. What the log function is equal to is the exponent, which is -2. Finally the number next to the log is the answer and that is
`\frac {1}{16}`

Answer 2

ANSWER

The exponential form is,


`(1)/(16) = {4}^( - 2)`


Step-by-step explanation

The logarithmic expression given to us is


`log_(4)( (1)/(16) ) = - 2`


We want to rewrite this in the exponential form,

We take the antilogarithm of both sides to base 4.


This implies that,


`{4}^{log_(4)( (1)/(16) )} = {4}^( - 2)`


Recall that,


`{q}^{log_(q)( p )} = p`


This implies that,


`(1)/(16) = {4}^( - 2)`