Question

Write an equivalent exponential equation for:

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

Answer 1

`(1)/(4) =2^(-2)`

Explanation:

We are given the following expression and we are to write an equivalent exponential equation for it:

`log_2 (\frac { 1 } { 4 } ) = - 2`

We know that the standard form of a logarithmic expression is given by:

`y = log_a ( x )`

which is equivalent to the exponential form
`x = a ^ y`.

Therefore, for the given expression, the equivalent exponential equation will be:

`\frac { 1 } { 4 } = 2 ^ { - 2 }`

Answer 2

Answer:
`(1)/(4)=2^((-2))`

Explanation:

You know that an expression written is logarithmic form is:

`x=log_b(y)`

And an expression equivalent to the expression above that is written in exponential form is:

`y=b^x`

Therefore, keeping the information above on mind, you have that an equivalent exponential equation for
`log_(2)((1)/(4)) =-2` , is the shown below:

`(1)/(4)=2^((-2))`