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The logarithmic function is the inverse function of exponentiation. Visit BYJU'S to learn the formulas, important properties and rules used in logarithms with examples.
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In mathematics, the logarithm to base b is the inverse function of exponentiation with base b. That means that the logarithm of a number x to the base b is the exponent to which b must be raised to produce x. For example, since 1000 = 10 3, the logarithm base of 1000 is 3, or log 10 (1000) = 3.
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.
A logarithmic function involves logarithms. Its basic form is f(x) = log x or ln x. Learn about the conversion of an exponential function to a logarithmic function, know about natural and common logarithms, and check the properties of logarithms.
Introduction to Logarithms. In its simplest form, a logarithm answers the question: How many of one number multiply together to make another number? Example: How many 2 s multiply together to make 8? Answer: 2 × 2 × 2 = 8, so we had to multiply 3 of the 2 s to get 8. So the logarithm is 3. How to Write it. We write it like this: log2(8) = 3.
In general, the logarithmic function: always has positive x, and never crosses the y-axis. always intersects the x-axis at x=1 ... in other words it passes through (1,0) equals 1 when x=a, in other words it passes through (a,1) is an Injective (one-to-one) function. Its Domain is the Positive Real Numbers: (0, +∞) Its Range is the Real Numbers:
A logarithm is the inverse function of exponentiation. A logarithm tells us the power, y, that a base, b, needs to be raised to in order to equal x. This is written as: log b (x) = y. Example. Write the equivalent of 10 3 = 1000 using logarithms. Two of the most commonly used bases are base 10 (common logarithm) and base e (natural logarithm).
