LOGARITHMS 20

If log 2= 0.3010; find the value of log 16,000,000 without using tables.

solution

=log16,000,000

=log(16 x 1,000,000)

=log16 + log1,000,000

=log2⁴ + log10⁶

=4log2 + 6log10

=4(0.3010) + (6 x 1)

=1.2040+  6

=7.2040

Hence log 16,000,000  = 7.2040 answer

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If log 2= 0.3010; find the value of log 320,000,000 without using tables.