Question

Resolva as equações exponenciais 1/16x=raiz quadrada de 2

Answer 1

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

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

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

$-8x=1\times(-1)$

$8x=-1$

$\boxed{\boxed{x=-\frac{1}{8}}}$