LOGARITHMS 3

If log 2= 0.3010; find the value of log 500,000 without using tables.

solution

=log500,000

=log(1,000,000÷ 2)

=log1,000,000 – log2

=log10⁶ – log2

=6log10 – log2

=(6x1) – (0.3010)

=6 – 0.3010

=5.699

Hence log50,000 = 5.699

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If log 2= 0.3010; find the value of log 5,000,000 without using tables.