Question

-11/7^-5 × 11/7^x = 11/7^3 find the value of x

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

one

Step-by-step explanation:

Our aim is to find the missing number.

Let x be the missing number.

Let a be the difference between the first number and the second.

Then we have a = 5 - 3 = 2

Let b be the difference between the second number and the third.

Thus, b = 3 - 2 = 1

5 * a - 3 * b =

= 5 * 2 - 3 * 1 =

= 7

Now applying the same logic to the second case but with a major difference, b' now is the difference between the first one and the last.

Then we get:

11 * a - 7 * b' =

= 11 * 3 - 7 * 4 =

= 5

In regard to the third one, we will have b' which will be the difference between the first one and the second one, which is the same as a.

Hence:

2 * a - 7 * b' =

= 2 * 5 - 7 * (2 - x) =

= 10 - 14 + 7x =

= -4 + 7x

We know that this is equal to 3.

Hence 3 = -4 + 7x.

Computing this equality we get x = 1.

Hence, our missing number is equal to 1.