LOGARITHMS 13

Simplify Log₂ 8192 – Log₅3125

Solution

= Log₂ 8192 – Log₅3125

= Log₂2¹³ – Log₅5⁵ 

= 13Log₂2 – 5Log₅5   because Log_aaⁿ =  nLog_aa

= (13 x 1) – (5 x 1)      because Log_aa =1

= 13 – 5

= 8

Hence Log₂ 8192 – Log₅3125 = 8 

TRY THIS…………..

NECTA 1995 QN 24b

Simplify Log₂32 – Log₃9.