MATHEMATICS PROBLEM SOLVER

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Saturday, 28 April 2018

LOGARITHMS 3

Evaluate Log100,000,000 + log0.00001 + log₃243

Solution

= Log100,000,000 + log0.00001 + log₃243

= Log10⁸ + log10^-5 + log₃3⁵

= 8Log10 + (-5log10) + (5log₃3) [since log_aaⁿ= nlog_aa]

= (8x1) + (-5x1) + (5x1) [since log_aa = 1]

= 8 + (-5) + (5)

= 8

Hence Log100,000,000 + log0.00001 + log₃243 = 7

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Evaluate Log10,000,000,000 + log0.01 + log₃2187

MATHEMATICS PROBLEM SOLVER

Saturday, 28 April 2018

LOGARITHMS 3

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