alexamaes160616
alexamaes160616
07-12-2017
Mathematics
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Evaluate the logarithm. Log_6 1/36
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jdoe0001
jdoe0001
07-12-2017
[tex]\bf ~~~~~~~~~~~~\textit{negative exponents}\\\\ \cfrac{1}{a^{ n}}\implies a^{-{ n}} \qquad \qquad a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}} \\\\\\ \textit{Logarithm of exponentials}\\\\ log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)\\\\ -------------------------------\\\\ log_6\left( \frac{1}{36} \right)\implies log_6\left( \frac{1}{6^2} \right)\implies log_6\left( 6^{-2} \right)\implies -2\cdot log_6(6) \\\\\\ -2\cdot 1\implies -2[/tex]
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