LOGARITHMS 4

If log 2= 0.3010; find the value of log 400,000 without using tables.

solution

log400,000=log(4 x 100,000)

=log4 + log100,000

=log2² + log10⁵

=2log2 + 5log10

=2(0.3010) + (5 x 1)

=(0.6020) +  5

=5. 6020

Hence log400,000=5. 6020

TRY THIS……………

If log 2= 0.3010; find the value of log 4,000,000 without using tables.