MATHEMATICS PROBLEM SOLVER

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Saturday 4 November 2017

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

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Simplify Log₂2048 – Log₅625

MATHEMATICS PROBLEM SOLVER

Saturday 4 November 2017

LOGARITHMS-1

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