Properties Of Logarithms Investigation Sheet Page 2
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44.8A – Properties of Logarithms Investigation Sheet
Investigation A
Use a calculator to evaluate the following logarithms (all to base 10):
Log 4 =
Log 40 =
Log 400 =
Log 4000 =
What would you expect the answer to be for log 40 000? ______________
How did you arrive at that answer?
Use a calculator to evaluate the following common logarithms:
Log 1 =
Log 10 =
Log 100 =
Log 1000 =
If you rewrite log 40 as log (10 x 4), how would you rewrite its numerical value, so as to take into
account the product (10 x 4)?
Rewrite the following:
Log 400 =
=
Log 4000 =
=
Write a generalization for the pattern:
Given the values of log 24 and log 4, how could you find the value of log 96?
log ( )
xy
How could we rewrite the general case,
?
a
4.8A – Properties of Logarithms
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