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22-02-2020
Mathematics

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

Respuesta :

amna04352 amna04352

22-02-2020

Answer:

x = 2

Step-by-step 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

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