# How do you write the logarithmic expressions as a single logarithm ln(x+2) - 2ln(x)?

May 28, 2015

Use the following properties of logs:
1] $a \log x = \log {x}^{a}$
2] $\log x - \log y = \log \left(\frac{x}{y}\right)$
$\ln \left(x + 2\right) - \ln \left({x}^{2}\right) = \ln \left(\frac{x + 2}{x} ^ 2\right)$