Question

Resolva (100 PONTOS)

27^(2x)=((1)/(9))^(x+3 )

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\sf 27^{2x} = \left(\dfrac{1}{9}\right)^{(x + 3)}$

$\sf (3^3)^{2x} = \left(\dfrac{1}{3^2}\right)^{(x + 3)}$

$\sf (3)^{6x} = \left({3^{-2}\right)^{(x + 3)}$

$\sf \not3^{6x} = \not3^{-2x - 6}$

$\sf 6x = -2x - 6$

$\sf 6x + 2x = -6$

$\sf 8x = -6$

$\boxed{\boxed{\sf x = -\dfrac{3}{4}}}$