Given the logarithmic equation
[tex]\log _2y=x+7[/tex]To determine an equivalent equation, we convert the equation from logarithm form to index form using the rule below.
[tex]\begin{gathered} If\; \log _ab=c,\text{ then:} \\ a^c=b \end{gathered}[/tex]Therefore:
[tex]\log _2y=x+7\equiv y=2^{x+7}[/tex]The equivalent form of the given equation is:
[tex]y=2^{x+7}[/tex]
