What is the solution of 8 = 4A + 2B + C0 = a + B + C0 = 4a-2b + C

What is the solution of 8 = 4A + 2B + C0 = a + B + C0 = 4a-2b + C

a = 2
b = 2
c = -4

If 10 ^ m = 2,10 ^ n = 3,10 ^ (2m + 3n)=
If 3x + 5y-4 = 0, then 8 ^ x * 32 ^ y=

If 10 ^ m = 2,10 ^ n = 3,10 ^ (2m + 3n)=
Solution: 10 ^ (2m + 3n) = 10 ^ 2m times 10 ^ 3N
=(10 ^ m) ^ 2 times (10 ^ n) ^ 3
=2 ^ 2 times 3 ^ 3
=4 times 27
=108
If 3x + 5y-4 = 0, then 8 ^ x * 32 ^ y=
Solution: 8 ^ x * 32 ^ y = (2 ^ 3) ^ x * (2 ^ 5) ^ y
=2^3x*2^5y
=(2)^3x+5y
=(2)^4
=16

Prove 1 / N + 1 + 1 / N + 2 +... + 1 / 3N + 1 > 1 (n belongs to positive integer)

It is proved by mathematical induction that when n = 1, the left side = 1 / 2 + 1 / 3 + 1 / 4 = 13 / 12 > 1. Suppose that when n = k, 1 / (K + 1) + 1 / (K + 2) + 1 / (K + 3)... + 1 / (3K + 1) > 1. When n = K + 1, it is necessary to prove that 1 / (K + 2) + 1 / (K + 3) +... + 1 / (3K + 1) + 1 / (3K + 2) + 1 / (3K + 3) + 1 / (3K + 4) > 1