MATHEMATICS PROBLEM SOLVER

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Thursday, 29 June 2017

LOGARITHMS 4

Evaluate Log10,000,000 + log0.00001 + log₃243

Solution

= Log10,000,000 + log0.001 + log₃243

= Log10⁷ + log10^-5 + log₃3⁵

= 7Log10 + (-5log10) + (5log₃3) [since log_aaⁿ= nlog_aa]

= (7x1) + (-5x1) + (5x1) [since log_aa = 1]

= 7 + (-5) + (5)

= 7

Hence Log10,000,000 + log0.00001 + log₃243 = 7

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Evaluate Log100,000,000 + log0.01 + log₃2187

MATHEMATICS PROBLEM SOLVER

Thursday, 29 June 2017

LOGARITHMS 4

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