[(lg3)^2-(lg2)^2]÷(lg9-lg4)+log下面是2上面是根号2,等于多少饿

原式=(lg3+lg2)lg3/2÷(1/2)lg3/2+1/2
=(1/2)lg6+1/2

[(lg3)^2-(lg2)^2]÷(lg9-lg4)+log2(√2)
=(lg3+lg2)(lg3-lg2)÷(lg9/4)+1/2
=(lg3+lg2)(lg3-lg2)÷2(lg3/2)+1/2
=lg6*lg3/2÷2(lg3/2)+1/2
=1/2lg6+1/2
=1/2(lg6+1)

(lg3)^2-(lg2)^2=（lg3+lg2）（lg3-lg2）=lg(3*2)lg(3/2)=lg6*lg(3/2)
lg9-lg4=lg(9/4)=lg(3^2/2^2)=2lg(3/2)
所以： [(lg3)^2-(lg2)^2]÷(lg9-lg4)=[lg6*lg(3/2)]/[2lg(3/2)]=(1/2)*lg6=lg根号6
log下面是2上面是根号2=log下面是2(2)^(1/2)=1/2。
[(lg3)^2-(lg2)^2]÷(lg9-lg4)+log下面是2上面是根号2=lg根号6+1/2=(1/2)lg60

0.5lg6+1/2

[(lg3)^2-(lg2)^2]÷(lg9-lg4)
=(lg3+lg2)(lg3-lg2)÷(2lg3-2lg2)
=(lg3+lg2)(lg3-lg2)÷2(lg3-lg2)
=(lg3+lg2)/2
log下面是2上面是根号2=lg2^(1/2)/lg2=1/2
原式=(lg3+lg2)/2+1/2=1/2(1+lg6)=1/2(lg60)