Question

Which logarithmic equation is equivalent to the exponential equation below e^2x=7

Answer 1

$\bf log_{{ a}}{{ b}}=y \iff {{ a}}^y={{ b}}\qquad\qquad % exponential notation 2nd form {{ a}}^y={{ b}}\iff log_{{ a}}{{ b}}=y \\\\ -----------------------------\\\\ e^{2x}=7\iff log_e(7)=2x\iff ln(7)=2x$