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

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Answer 1

Mar 8, 2018

#-x=ln5#

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#