LOGARITHMS F8

 

Simplify Log₂256 - Log₃729

 

Solution

 

= Log₂256 - Log₃729

 

= Log₂2⁸ - Log₃3⁵    [Since 256=2⁸ and 729=3⁶].

 

= 8Log₂2 - 6Log₃3    [since Log_aa = 1]

 

= (8 x 1) - (6 x 1)

 

= 8 - 6

 

= 2

 

Hence Log₂256 -Log₃729 = 2

 

TRY THIS..................

 

Simplify Log₂2048 - Log₅625