Question

$log_{ \frac{1}{2} }4$
$log_{ \frac{1}{2} } \frac{1}{16}$
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Answer 1

Resposta:

Explicação passo-a-passo:

Logarítmos

㏒ₐb=x ⇒ a²=b

㏒ de 4 na base 1/2

$\frac{1}{2} ^{x} =4\\2^{-x} =2^{2} \\-x=2\\x=-2$

log de 1/16 na base 1/2

$\frac{1}{2} ^{x} =\frac{1}{16} \\2^{-x}=16^{-1}  \\2^{-x} =(2^{4} )^{-1} \\2^{-x} =2^{-4} \\-x=-4\\x=4$