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Given that log 2= 0.3010 and log 3 =0.4771, simplify (a)Log 12 (b) Log 0.75 (c) Log 108

      

Given that log 2= 0.3010 and log 3 =0.4771, simplify
a. Log 12
b. Log 0.75
c. Log 108

  

Answers


joseph
a. Log 12 = log (3 x4)
=Log 3 + 2log 2
=0.4771 +2x0.3010
=1.0791
b. Log 0.75 = log (3/4)
=log 3 – log 4
=0.4771 – 2x 0.3010
=-1. 8751 nb. 8751 is a positive value while – is read as bar one.
c. Log 108 = log (27x4)
= 3 log 3 +2 log 2
=3x0.4771 +2x0.3010
=2.0333

joseph rimiru answered the question on November 15, 2017 at 19:06


Next: Express the following in logarithmic notationa. 8^2 =64 (b) 8^(1/3) =2 (c) 5^1 =5
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