LOGARITHMS 1

Evaluate Log1000000 +  log 0.001 -  log 0.00000001

Solution

= Log1000000 +  log 0.001 -  log 0.00000001

= Log10⁶ +  log 10^-3 – log 10^-8

= 6Log10 + (-3 log 10) – (-8log 10)

= (6x1) + (-3x1) - (-8x1)

=6 + (-3) – (-8)

= 6 – 3 + 8

=11

Hence Log1000000 +  log 0.001-  log 0.00000001 = 11