Question

log以为4底(2倍根号下2)等于多少,

Answer 1

log以为4底(2倍根号下2)=log4(2√2),
设log4(2√2)=x.
则4^x=2√2,
即2^(2x)=2*[2^(1/2)],
2^(2x)=2^(3/2),
所以2x=3/2,x=3/4.