Wednesday 6 July 2022

LOGARITHMS F1

 Evaluate Log1,000,000,000 +  log (0.01)6 + log3243

 

Solution

 

= Log1,000,000,000 +  log (0.01)6 + log3243

 

= Log109 +  log (10-2)6 + log33-5        since [0.01=10-2]

 

= Log109 +  log 10-12 + log33-5

 

= 9Log1010 +  (-12log10 10) + (-5log33)

 

= (9x1) + (-12x1) + (-5x1)

 

= 9 + (-12) + (-5)

 

= 9 + (-17)

 

= -8

 

Hence Log1,000,000,000 +  log (0.01)6 + log3243 = -8

 

TRY THIS……………..

 

 

Evaluate Log100,000,000 +  log (0.001)12 + log381

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