LOGARITHMS 2

Evaluate Log100000 +  log 0.00001 + log₃243

Solution

= Log100 +  log 0.00001 + log₃243

= Log10² +  log 10^-5 + log₃3^-5

= 2Log10 +  (-5log 10) + (-5log₃3)    [since log_aaⁿ  = nlog_aa]

= (2x1) + (-5x1) + (-5x1)             [since log_aa = 1]

= 2 + (-5) + (-5)

= 2 - 10

= -8

Hence Log100 +  log 0.00001 + log₃243 = -8

TRY THIS...............................

Evaluate Log100,000 +  log 0.01 + log₃729