Question

How is the natural logarithm generally written?

Explain why the natural log of e is equal to 1.

Answer 1

ln(x)

Answer 2

for the first ? right?

Answer 3

ln(x)

ln(e) = 1
e^(?) = e
? = 1

Answer 4

1

Answer 5

thats the explination of why

Answer 6

great, you are so helpful!

Answer 7

log_a(x) = y
is the same thing as
a^y = x
so log_e (e) = 1
is e^1 = 1

Answer 8

\( \color{Black}{\Rightarrow \ln e =\log_ee}\)
Anything to the power of 1 produces the same number!
:)

Answer 9

sorry that last line should be e^1 = e

Answer 10

ln(e) = 1
e^(1) = e
1= 1

is this a good explanation?

Answer 11

or should i go with the one from @ParthKohli?

Answer 12

log_a(x) = y
is the same thing as
a^y = x
so log_e (e) = 1
is e^1 = e

I would use something more along the lines of this, I think understanding his takes a little more comfort with logs.

Answer 13

the first three lines should say it all

Answer 14

log_a is log base a btw

Answer 15

well it is for that explination:)

Answer 16

thank you so much!!!!