Question

若2的a次方=3,2的b次方=6,2的c次方=12,求证;2a=b+c

Answer 1

2^(a-c)=3/12=1/4

2^(a-b)=3/6=1/2

2^(2a-b-c)=1/8=2^(-3)

2a-b-c=-3

2a=b+c-3