Question

If 5 power of 6 × 5 power of 2x = 5 power of 10, then find the x

Answer 1

5^6 * 5^2x = 5^10

In this equation base is same that is 5, so we will solve powers. We know that in multiplication if base is same then powers get added. So,

6 + 2x = 10
or, 2x = 10- 6
or, 2x = 4
or, x = 4/2 = 2
So the required answer is 2.
and equation will be :

5^6 * (5)^2*2 = 5^10
5^6 * 5^4 = 5^10

Hope it will help you !!!