Question

Help with logarithms please

Answer 1

\[\large \ln \sqrt{\frac{m^{2}}{(m+3)}}=\ln [m(m+3)^{-\frac{1}{2}}]\]
\[\large =\ln m-\frac{1}{2}\ln (m+3)\]

Answer 2

\[\ln \sqrt{\frac{ m ^{2} }{ m+3 }} = \ln \left( \frac{ m ^{2} }{ m+3 } \right)^{\frac{ 1 }{ 2 }}\]

Answer 3

Alright soh seeing how you placed your equation. Would \[\ln (\frac{ e^3 }{ xy}) \] be -3 - ln(x)+ln(y)?

Answer 4

or should it be -ln(y)?

Answer 5

\[= \frac{ 1 }{ 2 }\left( \ln \frac{ m ^{2} }{ m+3 }\right)\]

Answer 6

would be the next step

Answer 7

\[= \frac{ 1 }{ 2 }\left( \ln m ^{2}-\ln m+3 \right)\]

Answer 8

\[\frac{ 1 }{ 2 }\left( 2\ln m-\ln m+3\right)\]

Answer 9

1/2lnm^2 -1/2m + 1.5?

Answer 10

using the distributive property \[\ln m-\frac{ 1 }{ 2 }\ln \left( m+3 \right)\]

Answer 11

my final post would be the correct answer.

Answer 12

Thank you

Answer 13

that make sense?