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

C) ln 5 = 4x is correct option .

Step-by-step explanation:

Given : = 5

To find : Which logarithmic equation is equivalent to the exponential equation

Solution : We have given that = 5.

By the exponential form of logarithm:

= c then logarithm form is = a.

Then , = 5  logarithm form is = 4x.

Here, = ln

So, ln 5 = 4x.

Therefore , C) ln 5 = 4x is correct option .

a

step-by-step explanation: