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

Question

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

ajspeller · Answer

Take the natural log (ln) of both sides of the equation.

ln e^4x = ln 5
4x = ln 5

anonymous · Answer

I'm confused, so does the 4x=ln 5 flip and become C. or does it become B?

ajspeller · Answer

ln 5 = 4x

same as ..

4x = ln 5

It's like saying 1+1=2 or that 2=1+1.  Both expressions separated by the equal sign are equivalent.