Logarithm problem 0 < log [a] 2 < log [b] 2, then the size relationship between a and B is_________ .

Logarithm problem 0 < log [a] 2 < log [b] 2, then the size relationship between a and B is_________ .


If the true number is greater than 1 and the logarithm is greater than 0, then the base number is greater than 1, that is, a > 1, b > 1
According to the formula of changing the bottom, it is concluded that
0<lg2/lga<lg2/lgb
LG is greater than LG2 for each term
0<1/lga<1/lgb
∴1/lga<1/lgb
∴lga>lgb>0
∴a>b