LOGARITHMS 3

Simplify Log₂128 – Log₅15625

Solution

= Log₂128 – Log₅15625

= Log₂2⁷ – Log₅5⁶ 

= 7Log₂2 – 6Log₅5   because Log_aaⁿ =  nLog_aa

= (7 x 1) – (6 x 1)  

= 7 – 6

= 1

Hence Log₂128 – Log₅15625 = 1 

TRY THIS…………..

NECTA 1995 QN 24b

Simplify Log₂32 – Log₃9.