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0:08 3:12 Suggested clip 2nd Law of Logs: Subtracting Logs - YouTubeYouTubeStart of suggested clipEnd of suggested clip 2nd Law of Logs: Subtracting Logs - YouTube
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What is the rule when you multiply two values with the same base together (x2 * x3)? The rule is that you keep the base and add the exponents. Well, remember that logarithms are exponents, and when you multiply, you're going to add the logarithms. The log of a product is the sum of the logs.
Subtracting Logs with the Same Base. To subtract logs, just divide the inputs (numbers inside the log). The rule log_b(x/y) = log_b(x) - log_b(y) lets you "convert division to log subtraction". It's actually just the "log version" of the quotient rule for exponents.
With exponents, to multiply two numbers with the same base, you add the exponents. With logarithms, the logarithm of a product is the sum of the logarithms. Use the product property to write as a sum. Simplify each addend, if possible.
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.
The number whose logarithm is a given number. For example, the logarithm of 1,000 (103) is 3, so the antilogarithm of 3 is 1,000. In algebraic notation, if log x = y, then antilog y = x.
An antilog is the inverse function of a logarithm. ... However, you still see the term "antilog" used in electronics for components such as antilog amplifiers.
To calculate antilog, plug the number you want to find the antilog for into 10 to the x power, where x is equal to the number you're working with. For example, if the antilog is 10^2.6452 use a calculator to find the answer, which is 441.7.
An antilog is the reverse of logarithm, found by raising a logarithm to its base. For example, the antilog of y = log10(5) is 10y = 5.
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