Question

how does ln(1/2) = -ln2 ?

Answer 1

\[\ln(\frac{a}{b})=\ln(a)-\ln(b)\]
\[\ln(1)=0\]

Answer 2

\[\ln(\frac{1}{2})=\ln(1)-\ln(2)=0-\ln(2)=-\ln(2)\]

Answer 3

or

Answer 4

\[\ln(x^r)=r \ln(x)\]

Answer 5

\[\ln(\frac{1}{2})=\ln(2^{-1})=(-1)\ln(2)=-\ln(2)\]

Answer 6

ooo thank you! i really liked ur answers

Answer 7

cool!