LOGARITHMS 2

Simplify Log₂256 - Log₃243

Solution

= Log₂1024 - Log₃243

= Log₂2¹⁰ - Log₃3⁵    [Since 256=2⁸ and 243=3⁵].

= 10Log₂2 - 5Log₃3    [since Log_aa = 1]

= (10 x 1) - (5 x 1)

= 10 - 5

= 5

Hence Log₂1024 - Log₃243 = 5

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

Simplify Log₂2048 – Log₅625