比较大小 0.5^3 3^0.5 log3(0.5)

结果: 3^0.5 >0.5^3>log3(0.5)

过程: 3^0.5 =3^(1/2)=√3>1
0<0.5^3 = (1/2)^3<1
log3(0.5)= -lg2/lg3<0

0.5^3=0.0125
3^0.5=根号3=1.732
log(3)0.5<0
所以
log(3)0.5<0.5^3<3^0.5

比较大小 0.5^3, 3^0.5, log3(0.5)

0.5*0.5*0.5=0.125 , 3^0.5=1.732 ,log3(0.5)<log3 3

log3(0.5)<0

0.5^3=0.125
3^0.5＝√3 ≈1.732

大小关系就显见了