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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.
OBJECTIVE RD SHARMA ENGLISH - LOGARITHMS - Section II - Assertion Reason Type. Doubt solutions for Maths, Science, CBSE, NCERT, IIT JEE, NEET & Class 6 to 12. Click, type question to get instant video answers solved by Doubtnut team.
We examine the graphs of exponential and logarithmic functions in this unit to discover how they are related. The exponential function is given by f(x) = ex, whereas the logarithmic function is given by g(x) = ln x, and the former is the inverse of the latter.
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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.
To help to solve a difficult equation, we use the three properties of logarithm: property of product of the logarithm, property of quotient of the logarithm and property of power of logarithm. Hence, we need to know and learn the properties of the logarithm to solve the difficult equations in a simplified manner.
Get comprehensive Class 11 Maths Chapter wise NCERT Solutions for the academic year 2024-25. Easily downloadable PDF for your convenience.
