Question

Resolva o Logaritmo abaixo:

Log₂0,5 + log₃√3 +log₄8

Answer 1

Boa tarde!

$log_{2}(0,5) + log_{3}( \sqrt{3} ) + log_{4}(8)$

$log_{2}(2 {}^{ - 1} ) + log_{3}( \sqrt{3} ) + log_{4}(8)$

$log_{2}(2 {}^{ - 1} ) + log_{3}(3 {}^{ \frac{1}{2} } ) + log_{4}(8)$

$log_{2}(2 {}^{ - 1} ) + log_{3}(3 {}^{ \frac{1}{2} } ) + log_{2 {}^{2} }(2 {}^{3} )$

$- 1 + \frac{1}{2} + log_{2 {}^{2} }(2 {}^{3} )$

$- 1 + \frac{1}{2} + \frac{3}{2}$

$\frac{ - 2 + 1 + 3}{2}$

$\frac{2}{2}$

$1$

Espero ter ajudado!