# Question #23690

Logarithmic equation ${\log}_{\frac{1}{4}} 256 = - 4$

Exponential equation ${\left(\frac{1}{4}\right)}^{- 4} = 256$

Choose letter (A)

#### Explanation:

Logarithmic Equation takes the form

${\log}_{b} M = x$

Exponential Equation takes the form

${b}^{x} = M$

The given logarithmic equation is ${\log}_{\frac{1}{4}} 256 = - 4$

and $b = \frac{1}{4}$ and $M = 256$ and $x = - 4$

Therefore, its exponential form is

${b}^{x} = m = M$

${\left(\frac{1}{4}\right)}^{- 4} = 256$

God bless....I hope the explanation is useful.