LOGARITHMS K2

 

Evaluate Log100000 +  log 0.00001 + log₃243

 

Solution

 

= Log100000 +  log 0.001 + log₃243

 

= Log10⁵ +  log 10^-3 + log₃3⁵

 

= 5Log10 +  (-3log 10) + (5log₃3)    [since log_aaⁿ  = nlog_aa]

 

= (5x1) + (-3x1) + (5x1)             [since log_aa = 1]

 

= 5 + (-3) + (5)

 

= 7

 

Hence Log100,000 +  log 0.001 + log₃243 = 7

 

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

 

Evaluate Log10,000,000 +  log 0.01 + log₃729