Question

Solve the following:-
(81)-⁴÷(729)²-m=(9)4x​

Answer 1

Answer:

Step-by-step explanation:

Given,

(81)-⁴÷(729)²-m=(9)4x​

= (81) power -4 ÷ (729) power 2-m = (9) power 4x​

Then,

=> (81)^(-4) = 9^(-8)

=> 729^(2 - x) = 9^3(2 - x) = 9^(6 - 3x)

=> 9^(-8 -6 + 3x) = 9^4x

Equating powers, we get,

=> -14 + 3x = 4x

=> x = -14

Answer 2

• The value of x is equal to (-14) .

Correct Question :- Solve the following and find the value of x :-

• 81^(-4) ÷ (729)^(2 - x) = (9)^4x

Solution :-

→ 81^(-4) ÷ (729)^(2 - x) = (9)^4x

→ (9²)^(-4) ÷ (9³)^(2 - x) = (9)^4x

using (a^m)^n = a^(m × n)

→ (9)^(2 × -4) ÷ (9)^{3(2 - x)} = (9)^4x

→ (9)^(-8) ÷ 9^(6 - 3x) = (9)^4x

using a^m ÷ a^n = a^(m - n) in LHS,

→ (9)^(- 8 - 6 + 3x) = (9)^4x

→ (9)^(3x - 14) = (9)^4x

using a^m = a^n => m = n,

→ (3x - 14) = 4x

→ 4x - 3x = (-14)

→ x = (-14) (Ans.)

Hence, value of x is equal to (-14) .

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