Question

Resolva as equações exponenciais:
a) (25/9)x-1 = (5/3)4x-3

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{\left(\dfrac{25}{9}\right)^{x - 1} = \left(\dfrac{5}{3}\right)^{4x - 3}}$

$\mathsf{\left[\left(\dfrac{5}{3}\right)^2\right]^{x - 1} = \left(\dfrac{5}{3}\right)^{4x - 3}}$

$\mathsf{\left(\dfrac{5}{3}\right)^{2x - 2} = \left(\dfrac{5}{3}\right)^{4x - 3}}$

$\mathsf{2x - 2 = 4x - 3}$

$\mathsf{4x - 2x = 3 - 2}$

$\mathsf{2x = 1}$

$\boxed{\boxed{\mathsf{x = \dfrac{1}{2}}}}$