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So, why do logarithmic functions exist? It is because exponential functions are one-to-one. Whether you want to use logarithms or not they exist because a bijective function has an inverse.
Logarithm Questions. 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 QUESTIONS AND ANSWERS CLASS 11. (1) Let b > 0 and b ≠ 1. Express y = bx in logarithmic form. Also state the domain and range of the logarithmic function. Solution. (2) Compute log9 27 − log27 9 Solution. (3) Solve log8 x + log4 x + log2 x = 11 Solution. (4) Solve log4 28x = 2log2 8 Solution.
27 Αυγ 2020 · Definition. A logarithm is the answer to the question what power x do I need to apply to the base b in order to obtain the number y: log_b(y) = x is another way of specifying the relationship: b^x = y. Let’s plug in some numbers to make this more clear. We will do base-10, so b=10.
Logarithms are a Math function, which tackle this guesswork avoiding time consumption to solve such problems easily. Logarithms simplify the Math and help to write the relationships in an understandable Math function.
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.
The key for the natural log is labeled “e” or “ln” while that of the common logarithm is labeled “log”. Now, let’s check our understanding of the lesson by attempting a few problems of natural and common logarithms. Example 1. Solve for x if, 6 x + 2 = 21. Solution. Express both sides in common logarithm. log 6 x + 2 = log 21
