Answer:
x = 14
Step-by-step explanation:
If a^m = a^n, then m = n.
If two powers with equal bases are equal, then the exponents are equal.
8^(x - 4) = 8^10
x - 4 = 10
Looking at this problem, we see that both sides of the equation are equal. Since both numbers have the same base, this means that they must also have the same power to be equal to each other. This means:
x = 10 + 4
