Solve for the value of x, that makes this a true statement:

10^6\10^X=10^2
(1 point)
Responses

2
2

8
8

6
6

4
4

1 answer

The correct answer is 4.

To solve for x, we can use the property of exponents that states: 10^a ÷ 10^b = 10^(a - b).

In this case, we have: 10^6 ÷ 10^x = 10^2.

Using the property above, we can subtract the exponents on the left side of the equation to solve for x: 6 - x = 2.

Simplifying the equation, we get: -x = -4, which means x = 4.