LOGARITHMS 8

Simplify Log₂128 – Log₅3125 – Log₆216

Solution

= Log₂128 – Log₅3125 – Log₆216

= Log₂2⁷ – Log₅5⁵ – Log₆6³

= 7Log₂2 – 5Log₅5 – 3Log₆6  because Log_aaⁿ =  nLog_aa

= (7 x 1) – (5 x 1) – (3 x 1)    

= 7 – 5 - 3

= -1

Hence Log₂128 – Log₅3125 – Log₆216 = -1 

TRY THIS…………..

Simplify Log₂2048 – Log₃9 – Log₅3125