Question

doar punctele a si d, va rog frumos​

Answer 1

Explicație pas cu pas:

a)

$log_{2}( \sqrt{2} \cdot \sqrt[3]{2} ) = log_{2}( {2}^{ \frac{1}{2} } \cdot {2}^{\frac{1}{3}}) = log_{2}( {2}^{ \frac{1}{2} + \frac{1}{3} }) =$

$= log_{2}( {2}^{ \frac{5}{6} } ) = \bf \dfrac{5}{6}$

d)

$log_{ \frac{1}{2} } \bigg( \dfrac{\sqrt{2} \cdot \sqrt[3]{2}}{128} \bigg) = log_{ \frac{1}{2} } ({2}^{ \frac{5}{6} - 7}) = log_{ \frac{1}{2} } ({2}^{ \frac{5 - 42}{6}}) =$

$= - log_{2} ({2}^{ - \frac{37}{6}}) = \bf \dfrac{37}{6}$