Penjelasan dengan langkah-langkah:

1. log(5) + log(2)= log(5x2)= log(10) = 1

2. ²log(16)-²log(2)= ²log(2⁴)-²log(2)= 4-1 = 3

3. ⁴log(20)-⁴log(5)= ⁴log(20/5)= ⁴log(4)= 1

4. log(40)+log(5)-log(20)= log(40)+log(5/20)= log(40) + log(1/4)= log(40. 1/4)= log(10)= 1

5. ³log(4)+³log(12)-³log(16)= ³log(4)+³log(12/16)= ³log(4)+ ³log(3/4)= ³log(4. ¾)= ³log(3)= 1

6. ⁶log(8)-⁶log(2)+⁶log(9)= ⁶log(8/2) + ⁶log(9)= ⁶log(4)+⁶log(9)= ⁶log(4x9)= ⁶log(36)= ⁶log(6²)= 2

7. ³log (7½) + ³log(5/6) +³log(36/25)= ³log(15/2)+³log(5/6)+³log(36/25)= ³log(15/2 . 5/6)+³log(36/25)= ³log(75/12)+³log(36/25)= ³log(75/12 . 36/25)= ³log(3 . 3)= ³log(3²)= 2

8. log(16)+log(25)- log(4)= log(16 . 25/4)= log(4 . 25)= log(100)= log(10²)= 2

9. ⁵log(20)+⁵log(15)-⁵log(12)= ⁵log(20.15/12)= ⁵log(300/12)= ⁵log(25)= ⁵log(5²)= 2

10. ²log(144)+²log(125)-²log(15)- ²log(150)= ²log(144 . 125)/15 - ²log(150)= ²log(18.000/15)-²log(150)= ²log(1.200)-²log(150)= ²log(1.200/150)= ²log(8)= ²log(2³)= 3