zadania z logarytmów wszystko w załączniku - dużo punktów za dobre rozwiązanie
trzeba rozwiazać wszystko
- mam kilka odp w ksiazce to sprawdze jak wam poszło -
ja tego nie czaję na razie - ale rozkminie potem :)
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ZAD.1 b) B=
=
=3
c) B=![4^{\frac{3}{2}}=\sqrt{4^{3}}=\sqrt{64}=8 4^{\frac{3}{2}}=\sqrt{4^{3}}=\sqrt{64}=8](https://tex.z-dn.net/?f=4%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%3D%5Csqrt%7B4%5E%7B3%7D%7D%3D%5Csqrt%7B64%7D%3D8)
d) B=![8^{\frac{2}{3}}=\sqrt[3]{8^2}=\sqrt[3]{64}=4 8^{\frac{2}{3}}=\sqrt[3]{8^2}=\sqrt[3]{64}=4](https://tex.z-dn.net/?f=8%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%3D%5Csqrt%5B3%5D%7B8%5E2%7D%3D%5Csqrt%5B3%5D%7B64%7D%3D4)
e) B=![\sqrt{2^5}=\sqrt{32} \sqrt{2^5}=\sqrt{32}](https://tex.z-dn.net/?f=%5Csqrt%7B2%5E5%7D%3D%5Csqrt%7B32%7D)
f) B=![(\sqrt{3})^{-4}=\frac{1}{81} (\sqrt{3})^{-4}=\frac{1}{81}](https://tex.z-dn.net/?f=%28%5Csqrt%7B3%7D%29%5E%7B-4%7D%3D%5Cfrac%7B1%7D%7B81%7D+)
g) B=![0,1^{-2}=\frac{1}{10}^{-2}=10^{2}=100 0,1^{-2}=\frac{1}{10}^{-2}=10^{2}=100](https://tex.z-dn.net/?f=0%2C1%5E%7B-2%7D%3D%5Cfrac%7B1%7D%7B10%7D%5E%7B-2%7D%3D10%5E%7B2%7D%3D100)
h) B=![\pi^{0}=1 \pi^{0}=1](https://tex.z-dn.net/?f=%5Cpi%5E%7B0%7D%3D1)
i) B=![(\sqrt{5})^{-3}=\frac{1}{\sqrt{5}}^{3}=\frac{1}{\sqrt{125}} (\sqrt{5})^{-3}=\frac{1}{\sqrt{5}}^{3}=\frac{1}{\sqrt{125}}](https://tex.z-dn.net/?f=%28%5Csqrt%7B5%7D%29%5E%7B-3%7D%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B5%7D%7D%5E%7B3%7D%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B125%7D%7D)
ZAD.2 b)![A^{-3}=8 \\A=\frac{1}{2} A^{-3}=8 \\A=\frac{1}{2}](https://tex.z-dn.net/?f=A%5E%7B-3%7D%3D8+%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D)
c)![A^{6}=8\\A=\sqrt{2} A^{6}=8\\A=\sqrt{2}](https://tex.z-dn.net/?f=A%5E%7B6%7D%3D8%5C%5CA%3D%5Csqrt%7B2%7D)
d)![A^\frac{1}{2}=8\\A=\sqrt{64} A^\frac{1}{2}=8\\A=\sqrt{64}](https://tex.z-dn.net/?f=A%5E%5Cfrac%7B1%7D%7B2%7D%3D8%5C%5CA%3D%5Csqrt%7B64%7D)
e)![A^{-1}=\frac{1}{8}\\A=8 A^{-1}=\frac{1}{8}\\A=8](https://tex.z-dn.net/?f=A%5E%7B-1%7D%3D%5Cfrac%7B1%7D%7B8%7D%5C%5CA%3D8)
f)![A^{-2}=\frac{1}{8}\\A=64 A^{-2}=\frac{1}{8}\\A=64](https://tex.z-dn.net/?f=A%5E%7B-2%7D%3D%5Cfrac%7B1%7D%7B8%7D%5C%5CA%3D64)