LOGARITHMS 9

Simplify Log₂512 – Log₅625

Solution

= Log₂512 – Log₅625

= Log₂2⁹ – Log₅5⁴ 

= 9Log₂2 – 4Log₅5   because Log_aaⁿ =  nLog_aa

= (9 x 1) – (4 x 1)  

= 9 – 4

= 5

Hence Log₂512 – Log₅625 = 5 

TRY THIS…………..

NECTA 1995 QN 24b

Simplify Log₂32 – Log₃9.