Question

How can I simplify?:
ln(1/2)

Answer 1

\[
\ln(a/b) = \ln(a) -\ln(b)
\]

Answer 2

\[
\ln(1) = 0
\]

Answer 3

Notice the pattern: \[
\ln(\color{red}a/\color{blue}b)
\] \[
\ln(\color{red}1/\color{blue}2)
\]

Answer 4

Oh I remember that okay so I substitute but the calculator gives ln(2) as .6931....

Answer 5

ln(1) - ln(2) but I don't know what ln(2) is

Answer 6

You don't need to know, only to simplify. \(\ln(2)\) is the most simple form.

Answer 7

so the answer would just be ln(1) - ln (2) ?

Answer 8

Nope, you can simplify \(\ln(1)\)

Answer 9

See above.

Answer 10

0 - ln(2) ?

Answer 11

ln(1)=0 so ln(1)-ln(2) is just 0-ln(2) so what @wio is saying is the simplest form is just -ln(2)

Answer 12

yes

Answer 13

ah thank you :-) @chrisplusian

Answer 14

;) your welcome