====== Potenzen und Wurzel ====== * $ (ab)^{\frac{1}{2}} = \sqrt{ab} = \sqrt{a} * \sqrt{b} $ \\ * log_{b}(x)=y => b^{y} = x \\ === Beispiele === * $ \sqrt{50} = \sqrt{25*2} = 5 * \sqrt{2} $ \\ * $ \sqrt{12} * \sqrt{27} = \sqrt{12*27} = \sqrt{3+4+3+9} $ \\ * $ \sqrt{16x^{4}} = 4*x^{2} $ \\ * $ \sqrt{x+3}=5 | ^2 $ \\ $ x+3=25 | -3 $ \\ $ x =22 $ \\ * $ log_{10}(1000)=3 $ \\ * $ log_{2}(16)+log_{2}(4)=4+2=6 $ \\ oder $ log_{2}(16*4) => log_{2}(64) => 2^{6} => 6 $ \\ * $ log_{x}(64) = 3 => x^{3} = 64 => x=4 $