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[tex]\frac{1}{\sqrt2}=\frac{1}{\sqrt2}\cdot\frac{\sqrt2}{\sqrt2}=\frac{\sqrt2}{\sqrt{2^2}}=\frac{\sqrt2}{2}\\\\\frac{3\sqrt2}{2\sqrt3}=\frac{3\sqrt2}{2\sqrt3}\cdot\frac{\sqrt3}{\sqrt3}=\frac{3\sqrt{2\cdot3}}{2\sqrt{3^2}}=\frac{3\sqrt6}{2\cdot3}=\frac{\sqrt6}{2}\\\\\frac{3}{\sqrt[3]5}=\frac{3}{\sqrt[3]5}\cdot\frac{\sqrt[3]{5^2}}{\sqrt[3]{5^2}}=\frac{3\sqrt[3]{25}}{\sqrt[3]{5^3}}=\frac{3\sqrt[3]{25}}{5}[/tex]
[tex]\frac{7}{\sqrt[3]4}=\frac{7}{\sqrt[3]4}\cdot\frac{\sqrt[3]{4^2}}{\sqrt[3]{4^2}}=\frac{7\sqrt[3]{16}}{\sqrt[3]{4^3}}=\frac{7\sqrt[3]{8\cdot2}}{4}=\frac{7\cdot2\sqrt[3]2}{4}=\frac{7\sqrt[3]2}{2}\\[/tex]
1. Oblicz:
a) log3 1/9 = −2, bo 3^−2 = 1/3^2 = 1/9
b) nie wiem
c) log2 48 - log2 3 = 4
d) log6 2 + log6 18 = log6 ( 2*18 ) = log6 36 = 2, bo 6^2 = 36
e) 2log2 10 - 2log2 5 = 5
2. nie umiem
3.
a) x² + 3x - 2 = x² + 2x + 4x + 8
-4x = 10 /: ( -4 )
x = 10/-4
b) 5x - 15 = 3x + 6
2x = 21 /: 2
x = 10,5
4. nie umiem
nie dziekuj