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How do you explain logarithms?
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
What is a logarithm in simple terms?
A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithms of 100 is 2, because ten raised to the power of two is 100: log 100 = 2.
What is the purpose of logarithms?
Logarithms are a convenient way to express large numbers. (The base-10 logarithm of a number is roughly the number of digits in that number, for example.) Slide rules work because adding and subtracting logarithms is equivalent to multiplication and division. (This benefit is slightly less important today.)
How does a logarithm work?
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
What does a logarithmic function mean?
Definition of logarithmic function. a function (such as y = logo x or y = LN x) that is the inverse of an exponential function (such as y = ax or y = ex) so that the independent variable appears in a logarithm.
What is logarithmic function example?
A logarithm is an exponent. The exponential function is written as: f(x) = bx. The logarithmic function is written as: f(x) = log base b of x. The common log uses the base 10. The natural log uses the base e, which is an irrational number, e = 2.71828.
How do you model logarithmic functions?
Select Large from the STAT then CALL menu. Use the values returned for a and b to record the model, y = a + b l n (x) \\display style y=a+b\\math rm{LN}\\left(x\\right) y=a+ban(x).
What is the log formula?
Definition. The logarithm is denoted “logo x” (pronounced as “the logarithm of x to base b” or “the base-b logarithm of x” or (most commonly) “the log, base b, of x”). In the equation y = logo x, the value y is the answer to the question “To what power must b be raised, in order to yield x?”.
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