Question

Resolva as equações exponenciais:
a) 16^(2x-1)=0,125
b) 3^(x+3)=1/243

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{16^{2x - 1} = 0,125}$

$\mathsf{16^{2x - 1} = \dfrac{1}{8}}$

$\mathsf{2^{8x - 4} = 2^{-3}}$

$\mathsf{8x - 4 = -3}$

$\mathsf{8x = 1}$

$\boxed{\boxed{\mathsf{x = \dfrac{1}{8}}}}$

$\mathsf{3^{x + 3} = \dfrac{1}{243}}$

$\mathsf{3^{x + 3} = 3^{-5}}$

$\mathsf{x + 3 = -5}$

$\boxed{\boxed{\mathsf{x = -8}}}$