Question

If 343* = 494-x, what is the value of x?

5/8
8/5
2
8

Answer 1

Answer:
`(8)/(5)`

Explanation:

343 is equal to 7 to the power of 3.

49 is equal to 7 to the power of 2.

You can then make the equation:

`(7^(3))^x = (7^2)^(4-x)`

The powers law means if something is to the power of something, it is multiplied.

So, we can remove the 7 and make the equation:

3x = 2(4-x)

3x = 8 - 2x

5x = 8

x =
`(8)/(5)`

You can verify this by plugging it in,

`343^(8/5) = 11388.6066`

`49^(4-(8/5)) = 11388.6066`