LOGARITHMS 13

Simplify Log₂1024 – Log₅3125

Solution

= Log₂1024 – Log₅3125

= Log₂2¹⁰ – Log₅5⁵ 

= 10Log₂2 – 5Log₅5   because Log_aaⁿ =  nLog_aa

= (10 x 1) – (5 x 1)      because Log_aa =1

= 10 – 5

= 5

Hence Log₂1024 – Log₅625 = 6 

TRY THIS…………..

NECTA 1995 QN 24b

Simplify Log₂32 – Log₃9.