MATHEMATICS PROBLEM SOLVER

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Monday, 10 July 2017

LOGARITHMS 13

Evaluate Log10000000 + log0.01 - log₃243

Solution

= Log10000000 + log0.01- log₃243

= Log10⁷ + log10^-2 - log₃3^-5

= 7Log10 + (-2log10) - (-5log₃3) [Since logaⁿ= nLoga]

= (7x1) + (-2x1) - (-5x1)

= 7 + (-2) -(-5)

= 7 + (-2) +⁺5

= 12-2

= 10 answer

Hence Log10000000 + log0.01 - log₃243 = 10

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Evaluate Log100000 + log0.01 + log₃729+ log₂512

MATHEMATICS PROBLEM SOLVER

Monday, 10 July 2017

LOGARITHMS 13

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