LOGARITHMS 18

Evaluate       Log0.0000001

                       

Solution

=    Log0.0000001

      

We write 0.0000001 as an exponent. So 0.0000001=10^-7

=    Log10^-7

      

=    Log₁₀10^-7

            

=    -7Log₁₀10       [Since Log_ccⁿ = nLog_cc]

      

=    -7 x 1             [Since Log_cc = 1]

Hence           Log0.0000001         =  -7

TRY THIS………..

Evaluate    Log0.0000000001