September 2018 2 38 Report

Logarytmy.

Oblicz:

a) log_{5} \ 5^{-\frac{2}{7}}

log_{5} \ (5^3)^{7}

log_{5} \ (5^{\frac{2}{3}})^{-6}

log_{5} \ (5^{-4})^{\frac{1}{5}}

b) log_{6} \ (6^{15})^{-4}

log_{6} \ \frac{1}{36}

log_{6} \ (\sqrt[3]{6})^{2}

log_{6} \ \frac{1}{\sqrt[5]{36}}

c) log_{\frac{1}{2}} \ 2^{-4}

log_{\frac{1}{2}} \ ((0,5)^{7})^{8}

log_{\frac{1}{2}} \ 4^{13}

log_{\frac{1}{2}} \ (\sqrt{2})^{18}


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