How do you write the equivalent logarithmic equation #e^-x=5#?

1 Answer
Mar 8, 2018

Answer:

#-x=ln5#

Explanation:

We start with

#e^(-x)=5#

Take the logarithm on both sides

#lne^-x=ln5#

Use the identity #lna^b=blna#

#-xlne=ln5#

Use the fact that #lne=1# to simplify

#-x=ln5#