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The logarithm tells us what the exponent is! In that example the "base" is 2 and the "exponent" is 3: So the logarithm answers the question: What exponent do we need. (for one number to become another number) ? The general case is: Example: What is log10(100) ... ? 102 = 100. So an exponent of 2 is needed to make 10 into 100, and: log10(100) = 2.
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 logarithm is the inverse of the exponential function. Specifically, a logarithm is the power to which a number (the base) must be raised to produce a given number. For example, \log_2 64 = 6, log2 64 = 6, because 2^6 = 64. 26 = 64. In general, we have the following definition: z z is the base- x x logarithm of y y if and only if x^z = y xz = y.
Logarithms are the inverse operation of exponentiation. We can use logarithms to find the exponent to which a given base must be raised in order to produce a particular result. For example, log 2 8 = 3 , because 2 3 = 8 .
The logarithmic function, y = log b (x) is the inverse function of the exponential function, x = by. So if we calculate the exponential function of the logarithm of x (x>0), f (f -1 (x)) = blogb(x) = x. Or if we calculate the logarithm of the exponential function of x, f -1 (f (x)) = log b (bx) = x.
28 Μαΐ 2024 · Logarithm, often called ‘logs,’ is the power to which a number must be raised to get the result. It is thus the inverse of the exponent and is written as: b a = x ⇔ log b x = a. Here, ‘b’ is the base. ‘a’ is the exponent. ‘x’ is the argument. are the 3 parts of a logarithm.
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).
