(log3(2) + log9(2)) * (log4(3) + log8(3))= (lg2/lg3 + lg2/lg9) * (lg3/lg4 + lg3/lg8))= [lg2/lg3 + lg2/(2lg3)] * [lg3/(2lg2) + lg3/(3lg2)]= [(2lg2+lg2)/(2lg3)] * [(3lg3+2lg3)/(6lg2)]= 3lg2/(2lg3)] * 5lg3/(6lg2)= 3/2 * 5/6= 5/4
5/4