LOGARITHMS-1

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