Question

Find the value of x​

Answer 1

Answer:

81⁻²÷729⁽¹⁻ˣ⁾= 9²ˣ

(9²)⁻²÷(9³)¹⁻ˣ= 9²ˣ

9⁻⁴÷9³⁻³ˣ= 9²ˣ

Since the bases are same and there is a divide sign, the powers will subtract.

9⁻⁴⁻⁽³⁻³ˣ⁾= 9²ˣ

Now that the bases are same on both sides, we will only compare the powers.

-4-(3-3x)= 2x

-4-3+3x= 2x

-7= 2x-3x

-7=-x

7=x

VERIFY:

To verify, we will substitute the value of x with 7.

81⁻²÷ 729⁽¹⁻⁷⁾= 9²⁽⁷⁾

(9²)⁻²÷(9³)⁻⁶= 9¹⁴

9⁻⁴÷9⁻¹⁸= 9¹⁴

9⁻⁴⁻⁽⁻¹⁸⁾= 9¹⁴

9⁻⁴⁺¹⁸= 9¹⁴

9¹⁴= 9¹⁴

LHS=RHS

Hence, verified

Hope it helps

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