LOGARITHMS 1

 Simplify Log₂128 – Log₅3125 – Log₆7776

 

Solution

 

= Log₂128 – Log₅3125 – Log₆7776

 

= Log₂2⁷ – Log₅5⁵ – Log₆6⁵

 

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

 

= (7 x 1) – (5 x 1) – (5 x 1)    

 

= 7 – 5 - 5

= 7 – 0

 

= 7

 

Hence Log₂128 – Log₅3125 – Log₆7776 = 7 

 

TRY THIS…………..

 

Simplify Log₂2048 – Log₃243 – Log₅3125