Question

resolvendo a equação abaixo, temos x igual a:​

Answer 1

Resposta:

a) 10

Explicação passo a passo:

$log_{3}(8x+1) - log_{3} (x-1) = 2\\\\log_{3}(8x+1) - log_{3} (x-1) = log_{3}9\\\\log_{3}\frac{(8x+1)}{(x-1)} = log_{3}9\\\\\frac{(8x+1)}{(x-1)} = 9\\\\(8x+1) = 9 (x-1)\\\\8x+1 = 9x-9\\\\x = 10$

Answer 2

Vamos là.

log3(8x + 1) - log3(x - 1) = 2

log3((8x + 1)/(x - 1) = log3(9)

8x + 1 = 9x - 9

x = 10 (A)