MATHEMATICS PROBLEM SOLVER

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Thursday 30 June 2016

LOGARITHMS 2

Evaluate Log100000 + log0.001 + log₃243

Solution

= Log100000 + log0.001 + log₃243

= Log10⁵ + log10^-3 + log₃3^-5

= 5Log10 + (-3log10) + (-5log₃3) [since log_aaⁿ= nlog_aa]

= (5x1) + (-3x1) + (-5x1) [since log_aa = 1]

= 5 + (-3) + (-5)

= 5 - 8

= -3

Hence Log100000 + log0.001 + log₃243 = -3

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

Evaluate Log100,000 + log0.01 + log₃729

MATHEMATICS PROBLEM SOLVER

Thursday 30 June 2016

LOGARITHMS 2

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