Less than 3/4
log3(2)>log3(√3)= 1/2
log2(3/2)>log2(√2)= 1/2
log3(2)& lt; log3(3^3/4)=3/4
log2(3/2)& lt; log2(2^3/4)=3/4
Consider using 0.6 or 3/5 as an intermediate quantity.
log3(2)>log3(3^3/5)=0.6
log2(3/2)& lt; log2(2^3/5)=0.6
So log3(2) is very large.