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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.
18 Οκτ 2024 · A logarithm tells what exponent (or power) is needed to make a certain number, so logarithms are the inverse (opposite) of exponentiation. Historically, they were useful in multiplying or dividing large numbers.
Evaluating Logarithms. Evaluating logarithms is one of the funnest things to do with logarithms. For example, if you have. log28, you can set it equal to x. log28 = x, then rewrite it in exponential form as. 2x = 8, then rewrite it as.
What is Log or Logarithm? Logarithm is basically a power on any number that we use to get the other number defined in the Log. Examples: Question: What is the value of log2 32? Answer: 5. Explanation: 25 = 32. We need to get 32 by multiplying 2 with 2 and see how many times it goes. Sp 2 x 2 x 2 x 2 x 2 = 32. This will get us 25.
In this article, we are going to learn the definition of logarithms, two types of logarithms such as common logarithm and natural logarithm, and different properties of logarithms with many solved examples.
A logarithm answers the question "How many of this number do we multiply to get that number?" Example: How many 2s must we multiply to get 8? Answer: 2 × 2 × 2 = 8, so we had to multiply 3 of the 2s to get 8. We say the logarithm of 8 with base 2 is 3. In fact these two things are the same: Introduction to Logarithms.
Revise what logarithms are and how to use the 'log' buttons on a scientific calculator as part of Higher Maths.