LOGARITHMS-6

Evaluate Log100000 +  log 0.001 -  log 0.00000001

Solution

= Log100000 +  log 0.001 -  log 0.00000001

= Log10⁵ +  log 10^-3 – log 10^-8

= 5Log10 + (-3 log 10) – (-8log 10)

= (5x1) + (-3x1) - (-8x1)

=5 + (-3) – (-8)

= 5 – 3 + 8

=10

Hence Log100000 +  log 0.001-  log 0.00000001 = 10