Question

Write an equivalent exponential equation for: %20%3D%20-2" id="TexFormula1" title="log_{2} (\frac{1}{4} ) = -2" alt="log_{2} (\frac{1}{4} ) = -2" align="absmiddle" class="latex-formula">

Answer 1

Answer: $\frac{1}{4}=2^{(-2)}$

Step-by-step 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 $log_{2}(\frac{1}{4}) =-2$ , is the shown below:

$\frac{1}{4}=2^{(-2)}$

Answer 2

Answer:

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

Step-by-step 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:

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