Write an equivalent exponential equation for:[tex]log_{2} (\frac{1}{4} ) = -2[/tex]

Answer: [tex]\frac{1}{4}=2^{(-2)}[/tex]Step-by-step explanation: You know that an expression written is logarithmic form is: [tex]x=log_b(y)[/tex] And an expression equivalent to the expression above that is written in exponential form is: [tex]y=b^x[/tex] Therefore, keeping the information above on mind, you have that an equivalent exponential equation for [tex]log_{2}(\frac{1}{4}) =-2[/tex] , is the shown below: [tex]\frac{1}{4}=2^{(-2)}[/tex]