Which logarithmic equation is equivalent to the exponential equation below? e^4x = 5 (the x is part of the ^4 exponent) A. log 5 = 4x B. ln 4x = 5 C. ln 5 = 4x D. log 4x = 5

keep in mind that "ln" is just a shortcut for the logarithm with a base of "e".

[tex]\bf \textit{exponential form of a logarithm}\\\\ log_{{ a}}{{ ( b)}}=y \implies {{ a}}^y={{ b}}\qquad\qquad % exponential notation 2nd form {{ a}}^y={{ b}}\implies log_{{ a}}{{(b)}}=y \\\\ -------------------------------\\\\ e^{4x}=5\implies log_e(5)=4x\implies ln(5)=4x[/tex]