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Instructions on how to evaluate logarithms with different bases using both manual calculations and a calculator. It covers the change of base formula and examples of evaluating logarithms in base 2, 3, 4, and 5. Students are encouraged to try evaluating logarithms manually and then check their answers using a calculator.
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Math 30P Change of Base formula
We have looked at logs with many different bases. In order to
do calculation type questions we need to have a base of 10
Common logarithms are the easiest ones to work with
and they assume a base of 10
when they are base 10 we write logs like this
log 8
log 1000 log 24
Evaluate each of the following logarithms manually and by calculator
log 1000
log ∛
We can use the cool change of base formula
b
Evaluate the following
4
2
b)
Convert to base 3 log
6
216
Example #
Example #
Find the exact value of the following
a)
log
3
(1/729)
b) 2log
8
512
c) log
7
d) 5
log 25
5
Homework
Page 126128
