Question

Which logarithmic equation is equivalent to the exponential equation below?4c = 64A.log64 c = 4B.log4 64 = cC.logc 64 = 4D.log4 c = 64

Answer 1

Given

exponential equation

`4^c=64`

Find

Which logarithmic equation is equivalent to the exponential equation

Step-by-step explanation

Here we use the below property of logarithm

`\begin{gathered} b^m=x \\ \Rightarrow m=\log_bx \end{gathered}`

so ,

`c=\log_464`

Final Answer

Hence , the correct option is B