Question

ln e = ??

Answer 1

1

Answer 2

yep yep

Answer 3

How is it 1?

Answer 4

it's a theorem, Ln(e) = 1

Answer 5

its a property

Answer 6

LN(e) = 1, LN(1) = 0

Answer 7

Okay :) Thank youuuu!!!

Answer 8

I have another question...

Answer 9

\[Log_b b=1\]
Since ln is \[\log_e\]
\[Log_e e=1\]

Answer 10

What is e^? =8

Answer 11

oh yeah let y=lne
so we can write \[y=\log_e(e)\]
and an exponential from we can write
\[e^y=e\]
and \[e=e^1\]
\[e^y=e^1\]
so y=1
but we also said y=lne
so lne must equal 1

Answer 12

\[e^x=8=> lne^x=\ln8 => xlne=\ln8 => x(1)=\ln8 => x=\ln8\]

Answer 13

i let your ? be x

Answer 14

so would the answer be 2.08?

Answer 15

ln8

Answer 16

So ln8 is the answer?

Answer 17

do you not understand how i solved for x?
i took natural log of both sides first
one of my properties say i can write lne^x as xlne
and we know lne=1 we proved it above
so we got x=ln8
whats the question

Answer 18

I understand now, thank you :)

Answer 19

Natural log is the inverse of the exponential function:
\[ln(e) = ln(e^1) = 1\]