4. gyakorlat

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\[ \log_a b = c => a^c = b \]

\[ a^{\log_a b} = b \]

\[ \log_b (b^x) = x \]

\[ \log_a (xy)=\log_a x+\log_a y \]

\[ \log_a (\frac{x}{y})=\log_a x-\log_a y \]

\[ \log_a x^k=k\log_a x \]

\[ \log_a \sqrt[n]{x^{k}}=\frac{k}{n}\log_a x \]

\[ \log_a x=\frac{\log_b x}{\log_b a} \]