MATHEMATICS PROBLEM SOLVER

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Wednesday 8 July 2015

LOGARITHMS 3

Evaluate Log100000 + log0.00001 + log₃243

Solution

= Log100000 + log0.00001 + log₃243

= Log10⁵ + log10^-5 + log₃3^-5

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

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

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

= 5 - 10

= -5

Hence Log100000 + log0.00001 + log₃243 = -5

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

Evaluate Log10,000 + log0.01 + log₃729

MATHEMATICS PROBLEM SOLVER

Wednesday 8 July 2015

LOGARITHMS 3

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