SOLUTION: Write the mathematical definition for a logarithm (i.e. for: logb N). 4. The definition of the log function (y = logb N, where b>0, b not 1) is based on the definition of the

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Write the mathematical definition for a logarithm (i.e. for: logb N). 4. The definition of the log function (y = logb N, where b>0, b not 1) is based on the definition of the       Log On


   



Question 91993: Write the mathematical definition for a logarithm (i.e. for: logb N).
4. The definition of the log function (y = logb N, where b>0, b not 1) is based on the definition of the exponential function. Explain why you cannot take the logarithm of a negative number. (Why must N be greater than 0?)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write the mathematical definition for a logarithm (i.e. for: logb N).
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log is another word for "exponent"
logb N = the exponent or power of b that gives the number N.
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4. The definition of the log function (y = logb N, where b>0, b not 1) is based on the definition of the exponential function.
Explain why you cannot take the logarithm of a negative number. (Why must N be greater than 0?)
If b>0 there is no exponent (power) of b that would result in a negative result.
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Cheers,
Stan H.