LOGARITHMS H6

 

Evaluate Log10,000,000,000 -  log 0.0001 + log₃243

 

Solution

 

= Log10,000,000,000 -  log 0.0001 + log₃243

 

= Log₁₀10¹⁰ -  log₁₀ 10^-4 + log₃3^-5

 

= 10Log10 -  (-4log 10) + (-5log₃3)

 

= (10x1) - (-4x1) + (-5x1)

 

= 10 - (-4) + (-5)

 

= 9

 

Hence Log10,000,000,000 +  log 0.0001 + log₃243 = 9

 

TRY THIS……………..

 

 

Evaluate Log1,000,000,000  -   log 0.000001 + log₃9