Math, asked by arijit7617, 9 months ago

find x from the question​

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Answers

Answered by biligiri
1

Answer:

81⁻² ÷ 729¹⁻ˣ = 9²ˣ

=> [(3)⁴]⁻² ÷ (3)⁶⁽¹⁻ˣ⁾ = [(3)²]²ˣ

=> 3⁻⁸ ÷ (3)⁶⁻⁶ˣ = (3)⁴ˣ

=> 3⁻⁸ × (3)⁶ˣ⁻⁶ = (3)⁴ˣ

[ ÷ is same as × by reciprocal]

=> 3⁽⁻⁸⁺⁶ˣ⁻⁶ = (3)⁴ˣ

=> 3⁶ˣ⁻¹⁴ = (3)⁴ˣ [ as base 3 is common on both sides, we can equate the exponents ]

=> 6x - 14 = 4x

=> 6x - 4x = 14

=> 2x = 14

=> x = 7

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