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Evaluate to four decimal places using a calculator.
Rounding to four decimal places,
Evaluate
It is not possible to take the logarithm of a negative number in the set of real numbers.
Access this online resource for additional instruction and practice with logarithms.
| Definition of the logarithmic function | For
if and only if |
| Definition of the common logarithm | For if and only if |
| Definition of the natural logarithm | For if and only if |
What is a base logarithm? Discuss the meaning by interpreting each part of the equivalent equations and for
A logarithm is an exponent. Specifically, it is the exponent to which a base is raised to produce a given value. In the expressions given, the base has the same value. The exponent, in the expression can also be written as the logarithm, and the value of is the result of raising to the power of
How is the logarithmic function related to the exponential function What is the result of composing these two functions?
How can the logarithmic equation be solved for using the properties of exponents?
Since the equation of a logarithm is equivalent to an exponential equation, the logarithm can be converted to the exponential equation and then properties of exponents can be applied to solve for
Discuss the meaning of the common logarithm. What is its relationship to a logarithm with base and how does the notation differ?
Discuss the meaning of the natural logarithm. What is its relationship to a logarithm with base and how does the notation differ?
The natural logarithm is a special case of the logarithm with base in that the natural log always has base Rather than notating the natural logarithm as the notation used is
For the following exercises, rewrite each equation in exponential form.
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