Question

7. Solve for x in the equation.
Log27(x + 7) - Log27 (x - 1) = 2/3​

Answer 1

x = 2

Explanation:

log27(x + 7) - log27(x - 1) = ⅔

log27[(x + 7)/(x - 1)] = ⅔

(x + 7)/(x - 1) = 27^⅔

(x + 7)/(x - 1) = 9

x + 7 = 9(x - 1)

x + 7 = 9x - 9

8x = 16

x = 2