LOGARITHMS B2

 

Simplify Log₂1024 - Log₃27

 

solution

 

= Log₂1024 - Log₃27

 

= Log₂2¹⁰ - Log₃3³    [Since 1024=2¹⁰  and 27=2³ after prime factorization]

 

= 10Log₂2 - 3Log₃3   [since log_aaⁿ  = nlog_aa]

 

= (10 x 1) - (3 x 1)    [since log_cc = 1]

 

= 10 - 3

 

= 7

 

Hence Log₂1024 - Log₃27 = 7

 

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

 

 

Simplify Log₂256 – Log₅125