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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
In mathematics, the logarithm table is used to find the...
- Logarithm Table
LOGARITHMS PRACTICE SIMPLIFYING EXPRESSIONS. single logarithm. log 2 7 + log 2 2. log 2 20 − log 2 4. 3log 5 2 + log 5 8. 2log 6 8 − 5log 6 2. log 10 8 + log 10 5 − log 10 0.5. log 2 14 , log 2 5 , log 5 64 , log 6 2 , log 10 80. single logarithm.
LOGARITHM PROBLEMS WITH SOLUTIONS. Problem 1 : Find the logarithm of 64 to the base 2√2. Solution : Write 64 as in terms of 2√2. 64 = 26. = 24+2. = 24 ⋅ 22. = 24 ⋅ [ (√2)2]2. = 24 ⋅ (√2)4. = (2√2)4. log2√264 = log2√2(2√2)4. = 4log2√2(2√2) = 4 (1) Problem 2 : If logabc = x, logbca = y and logcab = z, then find the value of. Solution :
Logarithm problems and answers are offered for students to solve to fully grasp the subject. These questions are based on the Logarithm chapter in the syllabus for Classes 9, 10, and 11.
16. A bacteria culture starts with 10 00 bacteria and the number doubles every 40 minutes. (a) Find a formula for the number of bacteria at time t. (b) Find the number of bacteria after one hour. (c) After how many minutes will there be 50 000 bacteria?
Solve the different practice problems based on logarithms and check your exam preparation level. The explanation and answers are given for every question.
The logarithm of any positive number, whose base is a number, which is greater than zero and not equal to one, is the index or the power to which the base must be raised in order to obtain the given number. Mathematically, if a x = b (where a > 0, ≠ 1), then x is called the logarithm of b to the base a, and we write loga b = x, clearly b > 0. Thus,
