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16 Νοε 2022 · Here is a set of practice problems to accompany the Logarithm Functions section of the Exponential and Logarithm Functions chapter of the notes for Paul Dawkins Algebra course at Lamar University.
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 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.
8. Prove the following statements. (1) logp b x = 2log x (2) log p1 b p x = log x (3) log 4 x2 = log p x 9. Given that log2 = x, log3 = y and log7 = z, express the following expressions
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 QUESTIONS WITH SOLUTIONS. Question 1 : Let b > 0 and b ≠ 1. Express y = bx in logarithmic form. Also state the domain and range of the logarithmic function. Solution : y = bx. logby = x. Domain : (0, ∞)
Solve the different practice problems based on logarithms and check your exam preparation level. The explanation and answers are given for every question.
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σχετικά με: basic logarithm problems and solutionsAutomatically Solve Problems. Algebra Geometry Trigonometry Calculus Number Theory Combinatorics Probability