MATHEMATICS PROBLEM SOLVER

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Friday, 5 January 2018

LOGARITHMS 4

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

= 14

Hence Log₂256 + Log₃729 = 14

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

Simplify Log₂2048 + Log₅625

MATHEMATICS PROBLEM SOLVER

Friday, 5 January 2018

LOGARITHMS 4

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