LOGARITHMS 14

Evaluate Log100 +  log 0.001 -  log 0.00000001

Solution

= Log100 +  log 0.001 -  log 0.00000001

= Log10² +  log 10^-3 – log 10^-8

= 2Log10 + (-3 log 10) – (-8log 10)

= (2x1) + (-3x1) - (-8x1)

=2 + (-3) – (-8)

= 2 – 3 + 8

=7

  

Hence Log100 +  log 0.001-  log 0.00000001 = 7

TRY THIS……………………… 

Evaluate Log1000 +  log 0.00001 -  log 0.00000001