LOGARITHMS J3

Evaluate Log10,000,000,000 -  log 0.0001 + log₃243 -  log 0.001

 

Solution

 

= Log10,000,000,000 -  log 0.0001 + log₃243 -  log 0.001

 

= Log₁₀10¹⁰ -  log₁₀ 10^-4 + log₃3⁵-  log₁₀ 10^-3    243=

 

= 10Log10 -  (-4log 10) + (5log₃3) -  (-3log 10)

 

= (10x1) - (-4x1) + (5x1) - (-3x1)

 

= 10 - (-4) + (5) - (-3)

= 10 + 4  +  5 + 3

= 14 + 8

= 22 answer

 

Hence Log10,000,000,000 -  log 0.0001 + log₃243 -  log 0.001=22 

 

TRY THIS……………..

 

 

Evaluate Log100,000,000,000  -  log 0.000001 + log₃81 -  log 0.001