LOGARITHMS F6

 Simplify Log₂1024 - Log₃81

 

Solution

 

= Log₂1024 - Log₃81

 

= Log₂2¹⁰ - Log₃3⁴    [Since 1024=2¹⁰ and 81=3⁴].

 

= 10Log₂2 - 4Log₃3    [since Log_CC = 1]

 

= (10 x 1) - (4 x 1)

 

= 10 - 4

 

= 6

 

Hence Log₂1024 - Log₃81 = 6

 

TRY THIS..................

 

Simplify Log₂2048 – Log₅125