Solve for n over the real numbers:
8^(7 n) = 9223372036854775808
8^(7 n) = 2^(21 n):
2^(21 n) = 9223372036854775808
9223372036854775808 = 2^63:
2^(21 n) = 2^63
Equate exponents of 2 on both sides:
21 n = 63
All equations give n = 3 as the solution:
Answer: | n = 3