Evaluate the following logarithmic expression

ln(4x)=5

Isolate 4x

Use a logarithmic identity

eLn(x) = x
so we raise each side of our equation using e

eln(4x) = e5

4x = 148.41315910258

Isolate x

Divide each side by 4

4x
4
=
  
148.41315910258
4

Cancelling the 4 on the left side, we get:

x = 37.103289775644

Final Answer


x = 37.103289775644