Answer:
[tex]y = \frac{1}{4} \times {2}^{x} - 1[/tex]
Step-by-step explanation:
Assuming the given logarithmic equation is
[tex]y = \log_{2}( {4}{x } - 4) [/tex]
We interchange x and y to get:
[tex]x= \log_{2}( {4}{y} - 4) [/tex]
We solve for y now:
[tex] {2}^{x} = {4}{y} - 4[/tex]
We add 4 to both sides to get;
[tex] {2}^{x} + 4 = 4y[/tex]
Divide through by 4:
[tex]y = \frac{1}{4} \times {2}^{x} - 1[/tex]
