Question

Which logarithmic equation is equivalent to the exponential equation below?ea = 47.38A.ln 47.38 = aB.log47.38 3.65 = eC.loga 47.38 = 3.65D.ln a = 47.38

Answer 1

Simplify the given expression as shown below

`\begin{gathered} e^a=47.38 \\ \Rightarrow ln(e^a)=ln(47.38) \\ \Rightarrow aln(e)=ln(47.38) \\ and \\ ln(e)=1 \\ \Rightarrow a=ln(47.38) \end{gathered}`

Therefore, the answer is ln(47.38)=a, option A.