Question

Use the equation 2,401 = 76 – 2x. What power of 7 is 2,401?

3
4
5

Answer 1

4. 7^4 is 2401. hope this helps

Answer 2

Option 2 - 4

Explanation:

Given : Equation
`2401=7^(6-2x)`

To find : What is the power of 7 is 2401

Solution :

We will factorize the 2401 so that we get which number power is 2401

`2401=7* 7* 7* 7`

`2401=7^4`

From this we directly know but we find the value of x

Substitute this in the equation :

`7^4=7^(6-2x)`

If base is same then power equate,

`x^m=x^n\Rightarrow m=n`

`4=6-2x`

`2x=2`

`x=1`

Substitute in equation,

`2401=7^(6-2(1))`

`2401=7^(4)`

Therefore, Option 2 is correct.