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

Which logarithmic equation is equivalent to the exponential equation below?e4x = 5A-example-1
User Deadbug
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1 Answer

4 votes

Answer: D.

Step-by-step 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

User Jay Gong
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