In CBSE board, chapters of logarithm are included in the syllabus of class 9, 10 and 11. Students of class 9 will be introduced to logarithm questions and answers for the very first time. Hence, the thorough practice of logarithm problems and answers are need of the hour.
However, before proceeding with the chapter on logarithm, students should be absolutely clear on the basic concepts. It is only then that solving difficult logarithm questions would become considerably easier.
Here are some of the logarithm questions that would impart some idea to students.
(a) log (1 + 2 + 3) = log 1 + log 2 + log 3
(b) log (2 + 3) = log (2 x 3)
(c) log10 10 = 1
(d) log10 1 = 0
Solution: The answer is option (b) log (2 + 3) = log (2 x 3).
Solution: The answer is option (b) 3.876.
Solution: The answer is option (a) 0.954.
Solution: The answer is option (a) 1000/301.
(d) None of the above option
Solution: The answer is option (b) 1.9030.
Solution: The answer is option (b) 20.
(a) log a/log b = x/y
(b) log a/b = x/y
(c) log a/log b = y/x
(d) None of the above option
Solution: The answer is option (c) log a/log b = y/x.
Solution: The answer is (b) 4.
Solution: The answer is option (a) 21000.
(a) – 1/4
(d) - 4
Solution: The answer is option (d) – 4.
Solution: The answer is option (a) 512.
Students’ query on logarithm questions can be clarified in Vedantu’s online classes. You also have the option of downloading PDF materials from the official website. Download the app today!
1. How to Solve Logarithm Basic Questions?
Ans. While the solution to be used will vary among logarithmic functions questions, the basic steps involve the following –
Determining the number of problems present in the logarithm
Apply relevant properties for simplification of the problem
the problem has to be rewritten sans logarithms
simplify problem further
find the solution of x, and
check the final solution. It must be noted for logs questions that logarithm of a negative number cannot be taken.
2. What are the Different Properties to Keep in Mind for Solving Log Maths Questions?
Ans. There are four properties to be followed for solving logarithm questions. The properties are – (1) product property, (2) quotient property, (3) power property, and (4) change of base property.
Product rule indicates that multiplying two or more logarithms with common bases becomes equal to the value arising out of separate logarithms. Quotient property lays down that two logarithms having same bases amounts to be equal to result generated from the difference in logarithms. Moreover, in case of change of base property, a given logarithm can be written with a new base.
3. What are Logarithmic Functions?
Ans. The inverse of exponential functions is termed as logarithmic functions. The logarithmic function, y = logax corresponds to the exponential equation, x = ay. y = logax. However, this relation holds only under a specific condition. Only if – (1) x = ay, (2) a > 0, and (3) a≠1, will the relation be applicable.
Having a clear idea about logarithmic functions is essential for solving even the basic log questions.