Question

如果2*8的N次方*16的n次方=2的22次方,求a的值

Answer 1

a=n=3

2*8^n*16^n = 2^22

2*(2*2*2)^n*(2*2*2*2)^n = 2^22

2*(2^3)^n*(2^4)^n = 2^22

2*2^3n*2^4n = 2^22

2^(1+3n+4n)=2^22

1+7n = 22

7n = 22-1 = 21

n = 21/7 = 3