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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