What is #log_e# of e?

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Answer 1 · 2014-09-25T00:41:56

#log_ee=lne=1#
(#ln# is a button on you GC, equivalent to #log_ee#)

By definition the #log_aa=1#, whatever #a# is.
(as long as #a!=0# and #a!=1#)

What #log_ax# means is:
What exponent do I use on #a# to get #x#?

Example: #log_10 1000 = 3# because #10^3=1000#

So #log_10 10 = 1# because #10^1=10#
And this goes for any #a# in #log_aa# because #a^1=a#

Answer 2 · 2015-03-24T15:57:53

The Answer is 1.

# ln(e)# is the same thing as #log_e(e)#

Because #e^1 = e, log_e(e) = 1#