Question

Solve for x: 81^-2 ÷ 729^1- x= 9^ 2x​

Answer 1

Answer:

.............. X=7

Step-by-step explanation:

....... hope it's helpful

Answer 2

Answer:

7

Step-by-step explanation:

81^-2 ÷ 729^1- x= 9^ 2x

((9)²)^-2 ÷ (9³)^(1-x) = 9^2x

9^-4 ÷ 9^(3-3x) = 9^2x

9^-4 = 9^2x × 9^(3-3x)

base 9 is same in RHS, therefore powers can be added

9^-4 = 9^(2x+3-3x)

now, equate powers at the both sides because base is same i.e 9

-4 = 2x+3-3x

-4=-x+3

x=7