logaritmer 2

$lg( \frac{x}{y} )=lg\left(x\right)-lg\left(y\right)$

ok men hur börjar jag?

eller snarare vad blir: $lg\frac{\sqrt{10x^2}}{10x}$

$\sqrt{10x^2}=(10x^2)^{0.5}=10^{0.5}\cdot (x^2)^{0.5}$

$$\begin{gathered} \sqrt{10}*\sqrt{10}=10 \\ \sqrt{x^2}=\left|x\right| \end{gathered}$$