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4 Αυγ 2024 · Logarithm is a mathematical function that represents the exponent to which a fixed number, known as the base, must be raised to produce a given number. In other words, it is the inverse operation of exponentiation.
The logarithm is denoted "log b x" (pronounced as "the logarithm of x to base b", "the base-b logarithm of x", or most commonly "the log, base b, of x "). An equivalent and more succinct definition is that the function log b is the inverse function to the function x ↦ b x {\displaystyle x\mapsto b^{x}} .
Learn what logarithmic functions are, how they are defined, and how they relate to exponential functions. Explore the properties, rules, and examples of logarithmic functions with different bases and fractions.
Learn what logarithmic functions are, how they are related to exponential functions, and how to graph them. Find out the domain, range, and properties of log functions with examples and practice problems.
Learn what logarithms are and how they relate to exponents, bases, and multiplication. Find out how to write, use, and graph logarithms with examples and exercises.
Learn the definition, properties and graphs of logarithmic functions with different bases. See how to plot, reverse and apply the natural logarithm function.
logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = log b n. For example, 2 3 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log 2 8. In the same fashion, since 10 2 = 100, then 2 = log 10 100.
