document.write( "Question 638297: A logarithm is an exponent. Explain, in your own words, why this is so. Justify your explanation with an example. \n" ); document.write( "

Algebra.Com's Answer #402299 by lwsshak3(11628) $\"\"$ $\"About$

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A logarithm is an exponent. Explain, in your own words, why this is so. Justify your explanation with an example.
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\n" ); document.write( "One definition of a logarithm: base raised to the logarithm of a number=number
\n" ); document.write( "Examples using base=10 which you can check on your calculator:
\n" ); document.write( "What is the logarithm of the number 100 to the base 10?
\n" ); document.write( "The logarithm=2, the exponent of base 10
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\n" ); document.write( "example using base 2:
\n" ); document.write( "What is the logarithm of the number 32 to the base 2?
\n" ); document.write( "The logarithm=5, the exponent of base 2
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\n" ); document.write( "example using base 5:
\n" ); document.write( "What is the logarithm of the number 125 to the base 5?
\n" ); document.write( "The logarithm=3, the exponent of base 5
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\n" ); document.write( "note: logarithms are not always whole numbers as in above examples.
\n" ); document.write( "for example, the logarithm of 3 base 10=0.47712..., which means 10^.47712..=3 \n" ); document.write( "

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