Question

Exercícios
Resolva as equações logarítmicas a seguir.
a)log 3(2x-2)=log 3(x+1)
b)log 2(x-2)=3​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\mathsf{log\:3(2x - 2) = log\:3(x + 1)}$

$\mathsf{3(2x - 2) = 3(x + 1)}$

$\mathsf{6x - 6 = 3x + 3}$

$\mathsf{6x - 3x = 3 + 6}$

$\mathsf{3x = 9}$

$\boxed{\boxed{\mathsf{x = 3}}}\leftarrow\textsf{letra A}$

$\mathsf{log\:2(x - 2) = 3}$

$\mathsf{log\:2(x - 2) = log\:1.000}$

$\mathsf{2(x - 2) = 1.000}$

$\mathsf{2x - 4 = 1.000}$

$\mathsf{2x = 1.004}$

$\boxed{\boxed{\mathsf{x = 502}}}\leftarrow\textsf{letra B}$