Question 638297: A logarithm is an exponent. Explain, in your own words, why this is so. Justify your explanation with an example.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! A logarithm is an exponent. Explain, in your own words, why this is so. Justify your explanation with an example.
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One definition of a logarithm: base raised to the logarithm of a number=number
Examples using base=10 which you can check on your calculator:
What is the logarithm of the number 100 to the base 10?
The logarithm=2, the exponent of base 10
..
example using base 2:
What is the logarithm of the number 32 to the base 2?
The logarithm=5, the exponent of base 2
..
example using base 5:
What is the logarithm of the number 125 to the base 5?
The logarithm=3, the exponent of base 5
..
note: logarithms are not always whole numbers as in above examples.
for example, the logarithm of 3 base 10=0.47712..., which means 10^.47712..=3
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