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Question: \(\left( \frac{2}{3} \right)^{x + 2}\)= \(\left( \frac{3}{2} \right)^{2–2x}\) then x =...

(23)x+2\left( \frac{2}{3} \right)^{x + 2}= (32)2–2x\left( \frac{3}{2} \right)^{2–2x} then x =

A

1

B

3

C

4

D

0

Answer

4

Explanation

Solution

(23)x+2\left( \frac{2}{3} \right)^{x + 2}=(23)2x–2\left( \frac{2}{3} \right)^{2x–2}Ž x + 2 = 2x – 2

Ž x = 4