Find x if 9*3 to the power x = (27) to the power 2x-3

1.	Find x if 9*3 to the power x = (27) to the power 2x-3
Answer» Answer: Step-by-step explanation: 9 × 3x = (27)2x – 3 32 × 3x = (3 × 3 × 3)2x -3 ⇒ 3x + 2 = (3)3(2x -3) ⇒ 3x+2 = (3)6x -9 Since, base are same, COMPARE them, X + 2 = 6x – 9 6x – x = 9 + 2 ⇒ 5X =11 ⇒ x = 11/2 ⇒ x = 2. 1/5

Answer»

Answer:

Step-by-step explanation:

9 × 3x = (27)2x – 3

32 × 3x = (3 × 3 × 3)2x -3

⇒ 3x + 2 = (3)3(2x -3)

⇒ 3x+2 = (3)6x -9

Since, base are same, COMPARE them,

X + 2 = 6x – 9

6x – x = 9 + 2

⇒ 5X =11

⇒ x = 11/2

⇒ x = 2. 1/5

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Find x if 9*3 to the power x = (27) to the power 2x-3​

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Find x if 9*3 to the power x = (27) to the power 2x-3