Question

$frac{49}{16}^{x+1} =frac{4}{7}^{9}$
решите уравнение

Answer 1

${( frac{49}{16}) }^{x + 1} = {( frac{4}{7}) }^{9} \ {( frac{7}{4}) }^{2(x + 1)} = {( frac{7}{4} )}^{ - 9} \ 2( x + 1) = - 9 \ 2x + 2 = - 9 \ 2x = - 11 \ x = - 5.5$