Question

If (9/7)³× (49/81^)2x-6= (7/9)⁹, then the value of x is:

Options

• 12

• 9

• 8

• 6

Answer 1

6

Explanation:

`(9/3)^3xx(49/81)^(2"x"-6)=(7/9)^9`

`(7/9)^(-3)xx(7/9)^(4"x"-12)=(7/9)^9`

`(7/9)^(4"x"-12-3)=(7/9)^9`

4x − 15 = 9

4x = 24

x = 6