If (p/q)3x – 4 = (q/p)2x – 5, then find x.1. 9/52. 83. 74. None of

1.	If (p/q)3x – 4 = (q/p)2x – 5, then find x.1. 9/52. 83. 74. None of these
Answer» Correct Answer - Option 1 : 9/5 Given∶ (p/q)^{3x – 4} = (q/p)^{2x – 5} Formula Used∶ (1/a)^m = (a/1)^m, when x^a = x^b, then a = b Calculation∶ (p/q)^{3x – 4} = (q/p)^{2x – 5} ⇒ (p/q)^{3x – 4} = (p/q)^{-(2x – 5)} ⇒ (p/q)^{3x – 4} = (p/q)^5-2x Or, 3x – 4 =5 – 2x ⇒ 3x + 2x = 5 + 4 ⇒ 5x = 9 ⇒ x = 9/5 ∴ The required value of x is 9/5

If (p/q)3x – 4 = (q/p)2x – 5, then find x.1. 9/52. 83. 74. None of these

Answer» Correct Answer - Option 1 : 9/5

Given∶

(p/q)^{3x – 4} = (q/p)^{2x – 5}

Formula Used∶

(1/a)^m = (a/1)^m, when x^a = x^b, then a = b

Calculation∶

(p/q)^{3x – 4} = (q/p)^{2x – 5}

⇒ (p/q)^{3x – 4} = (p/q)^{-(2x – 5)}

⇒ (p/q)^{3x – 4} = (p/q)^5-2x

Or, 3x – 4 =5 – 2x

⇒ 3x + 2x = 5 + 4

⇒ 5x = 9

⇒ x = 9/5

∴ The required value of x is 9/5