LOGARITHMS 3

Simplify Log₂ 8192 – Log₅625

Solution

= Log₂ 8192 – Log₅625

= Log₂2¹³ – Log₅5⁴ 

= 13Log₂2 – 4Log₅5   because Log_aaⁿ =  nLog_aa

= (13 x 1) – (4 x 1)      because Log_aa =1

= 13 – 4

= 9

Hence Log₂ 8192 – Log₅625 = 9 

TRY THIS…………..

NECTA 1995 QN 24b

Simplify Log₂32 – Log₃9.