Answer :

carlosego

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]

alinakincsem

Answer:

[tex]\frac{1}{4} =2^{-2}[/tex]

Step-by-step explanation:

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

[tex] log_2 (\frac { 1 } { 4 } ) = - 2 [/tex]

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

[tex] y = log_a ( x ) [/tex]

which is equivalent to the exponential form [tex] x = a ^ y [/tex].

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

[tex] \frac { 1 } { 4 } = 2 ^ { - 2 } [/tex]

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