Question

Find the value of x root (4/7)^2x-1=16/49​

Answer 1

`(3)/(2)`

Explanation:

Given expression:

`((4)/(7)) ^(2x - 1)` =
`(16)/(49)`

Solve for x;

Solution:

16 = 4²

49 = 7²

So;

`((4)/(7)) ^(2x - 1)` =
`(4^(2) )/(7^(2) )`

`((4)/(7)) ^(2x - 1)` =
`((4)/(7) )^(2)`

Now;

2x - 1 = 2

2x = 3

x =
`(3)/(2)`