Question

$1024 {}^{ - x} = 256$
Resolva as equações exponenciais

$( \sqrt{3} ) {}^{- x} = 81$
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Answer 1

Resposta:

Explicação passo-a-passo:

$1024^{-x} =256\\\\(2^{10}) ^{-x} =2^{8} \\\\2^{-10x} =2^{8} \\\\-10x=8\\\\x=\frac{8}{-10} \\\\x=-\frac{4}5}$

$(\sqrt{3} )^{-x} =81\\\\(3^{\frac{1}{2} } )^{-x} =3^{4} \\\\3^{-\frac{x}{2} } =3^{4} \\\\-\frac{x}{2} =4\\\\x=-2.4\\\\x=-8$