Question

Determine o valor de x na equação exponencial 10 ELEVADO A X-3 = 1 SOBRE 100

Answer 1

$\frac{}{}$ = $\frac{}{} =$

Answer 2

Boa noite!

Solução!
$10^{(x-3)} = \dfrac{1}{100}\\\\\\ 10^{x}.10^{-3} = \dfrac{1}{100 }\\\\\\ 10^{x}. \dfrac{1}{10^{3} } = \dfrac{1}{100 }\\\\\\ 10^{x}= \dfrac{1}{ \dfrac{100 }{ \dfrac{1}{1000 } } } \\\\\\ 10^{x}= \dfrac{1}{100}\times \dfrac{1000}{1}\\\\\\ 10^{x}= \dfrac{1000}{100} \\\\\ 10^{x} =10^{1} \\\\ x=1$

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