LOGARITHMS D1

Simplify Log₂128 – Log₅625

Solution

= Log₂128 – Log₅625

= Log₂2⁷ – Log₅5⁴ 

= 7Log₂2 – 4Log₅5   because Log_aaⁿ =  nLog_aa

= (7 x 1) – (4 x 1)   

= 7 – 4

= 3

Hence Log₂128 – Log₅625 = 3 

TRY THIS…………..

NECTA 1995 QN 24b

Simplify Log₂32 – Log₃9.