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How do you add and subtract logs?

0:08 3:12 Suggested clip 2nd Law of Logs: Subtracting Logs — YouTubeYouTubeStart of suggested client of suggested clip 2nd Law of Logs: Subtracting Logs — YouTube

How do you add and subtract logarithms?

0:08 3:12 Suggested clip 2nd Law of Logs: Subtracting Logs — YouTubeYouTubeStart of suggested client of suggested clip 2nd Law of Logs: Subtracting Logs — YouTube

What is the addition rule for logarithms?

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.

How do you subtract logs with the same base?

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.

How do you find the sum of logs?

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.

What is a log in math?

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 Antilogarithm with example?

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 antifog y = x.

What is an Antifog?

An antifog is the inverse function of a logarithm. ... However, you still see the term “antifog” used in electronics for components such as antifog amplifiers.

How do you find the antifog of an example?

To calculate antifog, plug the number you want to find the antifog for into 10 to the x power, where x is equal to the number you're working with. For example, if the antifog is 10^2.6452 use a calculator to find the answer, which is 441.7.

What is the antifog of 10?

An antifog is the reverse of logarithm, found by raising a logarithm to its base. For example, the antifog of y = log10(5) is 10y = 5.

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