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

Answer:

Option 2 - 4

Step-by-step 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

$2401=7\times 7\times 7\times 7$

$2401=7^4$

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.