Question

Which logarithmic equation is equivalent to the exponential equation below?e4x = 5A.ln 4x = 5B.log 4x = 5C.log 5 = 4xD.ln 5 = 4x

Answer 1

Answer: D.

Explanation

Given

$e^{4x}=5$

To simplify the expression, we can add a natural logarithm (as its base is Euler) to both sides of the equation:

$\ln(e^{4x})=\ln(5)$

Simplifying:

$4x=\operatorname{\ln}(5)$$\operatorname{\ln}(5)=4x$