Question

1. ^{9}log 25 x ^{5}log 2 - ^{3}log 54 =

2. (2/3) ^{-3/2} =

3. 2 √12 + √45 - √20 + √72 =

Answer 1

^{3^2}log(5^2) . ^{5}log 2 - ^{3}log 6 + ^{3}log(3^2)
^{3}log 5 . ^{5}log 2 - ^{3}log 6 + 2
^{3}log 2 - ^{3}log 6 + 2
^{3}log (1/3) + 2
-1 + 2
-1

Answer 2

1) *(9)log25 . *5log2 - *3log54 =*(3^2)log5^2 . *5log2 - *3log54 =2/2.*3log5 . *5log2-*3log54 =*3log2-*3log54 =*3log(2/54) =*3log1/27 =3log3^(-3) =-3 2) (2/3)^(-3/2)= 1/{(2/3)^(3/2)} =(3/2)^(3/2) =(9/2)/3= (9/2)x(1/3) =3/2 3) 2akar12 + akar45 -akar20 + akar72 =4akar3 + 3akar5-2akar5 + 6akar2 =4akar3 + akar5 + 6akar2