Without a calculator give the exact value, Mathematics

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without a calculator give the exact value of each of the following logarithms.

(a) 599_in.png

(b) log1000

(c) log16 16

(d) log23 1

 (e)  1576_log.png

Solution

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(b) log1000= 3           because            103  =1000

(c) log 1616 = 1           because            161 = 16

(d) log23 1= 0            because      230  =1

2429_log in 2.png

This set of examples leads us to some basic properties of logarithms.


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