Question

1/7=raiz sétima de 49 elevado x-1

Answer 1

$\frac{1}{7} =( \sqrt[7]{49} ) ^{x-1}$
$7 ^{-1} =( 49 ^{ \frac{1}{7} } )^{x-1}$
$7^{-1} =( 7^2)^{ \frac{x-1}{7} }$
$\not7^{-1} = \not7 ^{ \frac{2x-2}{7}$
$-1 = \frac{2x -2}{7}$
$-7 = 2x-2$
$-7 + 2 = 2x$
$-5 = 2x$
$x= - \frac{5}{2}$

$\Large\boxed{ Portanto~, ~~ x = - \frac{5}{2} }$