LOGARITHMS 1

Simplify Log₂256 - Log₃243

Solution

= Log₂256 - Log₃243

= Log₂2⁸ - Log₃3⁵    [Since 256=2⁸ and 243=3⁵].

= 8Log₂2 - 5Log₃3    [since Log_aa = 1]

= (8 x 1) - (5 x 1)

= 8 - 5

= 3

Hence Log₂256 - Log₃243 = 3

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

Simplify Log₂1024 – Log₅625