LOGARITHMS 7

Simplify Log₂128 – Log₅3125

Solution

= Log₂128 – Log₅3125

= Log₂2⁷ – Log₅5⁵ 

= 7Log₂2 – 5Log₅5   because Log_aaⁿ =  nLog_aa

= (7 x 1) – (5 x 1)  

= 7 – 5

= 2

Hence Log₂128 – Log₅3125 = 2 

TRY THIS…………..

NECTA 1995 QN 24b

Simplify Log₂32 – Log₃9.