How do you write #e^3 = 20.08# in log form?

1 Answer
Mar 8, 2016

Answer:

You may take the #log_e# or #ln# on both sides.

Explanation:

#lne^3=ln20.08#

Since any power may be placed before the log-function as a multiplication, we get:
#3lne=ln20.08#

And since #lne=1#:
#3=ln20.08#

Which checks out on my calculator (with a bit of rounding, actually #e^3=20.0855...# so #20.09# would have been a better number.