rishabhmaurya210 rishabhmaurya210
  • 23-06-2024
  • Mathematics
Answered

Find x , (- 1/3) ^ (x - 2) ÷ (1/3) ^ - 3 = (1/3) ^ (2x + 7)​



Answer :

djp6182583 djp6182583
  • 23-06-2024

Answer:

x = -6.

Step-by-step explanation:

(- 1/3) ^ (x - 2) ÷ (1/3) ^ - 3 = (1/3) ^ (2x + 7)​

(- 1/3) ^ (x - 2)  = (1/3) ^ (2x + 7) * (1/3) ^ - 3

(- 1/3) ^ (x - 2)  = (1/3) ^ (2x + 7 - 3)

(- 1/3) ^ (x - 2)  = (1/3) ^ (2x + 4)

(1/3)^(x - 2) = (1/3)^(2x + 4)

x - 2 = 2x + 4

x = -6.

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