How do you solve #3e ^ { 5x } = 8#?

1 Answer
Gió
May 9, 2017

I got: #x=1/5ln(8/3)=0.196166#

Explanation:

Let us first rearrange it:
#e^(5x)=8/3#
then take the natural log of both sides:
#ln[e^(5x)]=ln(8/3)#
so that the #ln# and #e# cancel to get:
#5x=ln(8/3)#
and
#x=1/5ln(8/3)=0.196166#

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