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Logarithm questions with answers are provided for students to solve them and understand the concept elaborately. These questions are based on the logarithm chapter of Class 9, 10 and 11 syllabi.
- Logarithm Table
Here the sample example to find the value of the logarithmic...
- Logarithm Table
4 Αυγ 2024 · A logarithm is a mathematical concept that answers the question: to what exponent must a given base number be raised to produce a specific number? In simpler terms, if you have an equation of the form b y = x , then the logarithm of x to base b is y , expressed as y = log b (x).
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. So these two things are the same:
Logs Definition. A logarithm is defined using an exponent. bx = a ⇔ logb a = x. Here, "log" stands for logarithm. The right side part of the arrow is read to be "Logarithm of a to the base b is equal to x". A very simple way to remember this is "base stays as the base in both forms" and "base doesn't stay with the exponent in log form".
Question 1 Simplify each of the following logarithmic expressions, giving the final answer as a single logarithm. a) log 7 log 22 2+ b) log 20 log 42 2− c) 3log 2 log 85 5+ d) 2log 8 5log 26 6− e) log 8 log 5 log 0.510 10 10+ − log 142, log 52, log 645, log 26, log 8010
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.
19 Ιουλ 2024 · Logarithms are mathematical functions that help in solving equations involving exponents by translating multiplication of numbers into addition of their exponents. Essentially, a logarithm asks the question: “To what exponent must one number, called the base, be raised to produce another number?” Types of Logarithms
