Question

Explain how you solved for x to in problem 12.

Answer 1

x=2

Explanation:

6^x^10 = 6^12^2 / 6^4

We know a^b^c = a^(b*c)

6^ 10x = 6^(12*2) / 6^4

6^ 10x = 6^(24) / 6^4

We know a^b / a^c = a^(b-c)

6^ 10x = 6^(24 -4)

6^ 10x = 6^(20)

Since the bases are the same, the exponents are the same

10x = 20

Divide each side by 10

10x/10 = 20/10

x=2