It is known that LG2 = A and Lg3 = B. try to use a and B to express the logarithm with 5 as the lower 12

It is known that LG2 = A and Lg3 = B. try to use a and B to express the logarithm with 5 as the lower 12

lg2=a,lg3=b,
∴log12
=lg(2²×3)/lg(10/2)
=(2lg2+lg3)/(1-lg2)
=(2a+b)/(1-a).