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Logarithm is another way of writing exponent. The problems that cannot be solved using only exponents can be solved using logs. Learn more about logarithms and rules to work on them in detail.
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.
logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if b x = n, in which case one writes x = log b n. For example, 2 3 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log 2 8. In the same fashion, since 10 2 = 100, then 2 = log 10 100.
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.
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 .
Logarithm. Level: Basic. Branch: Algebra. The logarithm of a number n refers to the number of times another number called the base, or b must be repeatedly multiplied to produce n. In other words, what the base b must be raised to get the number n is called n’s logarithm.
28 Μαΐ 2024 · Here are some examples of conversions from exponential to logarithmic form and vice-versa. Find the value of log7(343). Solution: As we know, 7 × 7 × 7 = 7 3 = 343. Thus, log 7 (343) = 3. Convert 35 = 243 in its logarithmic form. Solution: As we know, b a = x ⇒ log b x = a. Here, 3 5 = 243. ⇒ log 3 (243) = 5, the required logarithmic form.
