Stottshazah Stottshazah
  • 25-11-2016
  • Mathematics
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Explain why the logarithm of 1 with base b is 0.

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MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 25-11-2016
When you write logarithm of 1 with base b = x, through logarithm properties, that would be x to the power of b equals 1.

[tex] log_{b} 1=x \ =\ \textgreater \ \ x^{b} =1[/tex]

Now, from the law of exponents, any number raised to the power of zero is 1. Thus logarithm of 1 with base b is truly zero.
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