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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.Â

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.Â

Here are some of the logarithm questions that would impart some idea to students.Â Â

(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).Â

(a) 3.912

(b) 3.876

(c) 2.967

(d) 2.870

Solution: The answer is option (b) 3.876.

(a) 0.954

(b) 0.945

(c) 0.958

(d) 0.934

Solution: The answer is option (a) 0.954.

(a) 1000/301

(b) 699/301

(c) 0.6990

(d) 0.3010

Solution: The answer is option (a) 1000/301.

(a) 3.9030

(b) 1.9030

(c) 1.6020

(d) None of the above optionÂ

Solution: The answer is option (b) 1.9030.Â

(a) 21

(b) 20

(c) 18

(d) 19

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 optionÂ

Solution: The answer is option (c) log a/log b = y/x.Â

(a) 8

(b) 4

(c) 1/8

(d) 16

Solution: The answer is (b) 4.

(a) 21000

(b) 210

(c) 2100

(d) 210000

Solution: The answer is option (a) 21000.

(a) â€“ 1/4

(b) 1/4

(c) 4

(d) - 4

Solution: The answer is option (d) â€“ 4.

(a) 512

(b) 12

(c) 0

(d) 128

Solution: The answer is option (a) 512.

Studentsâ€™ query on logarithm questions can be clarified in Vedantuâ€™s online classes. You also have the option of downloading PDF materials from the official website. Download the app today!

FAQ (Frequently Asked Questions)

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 â€“Â

Determining the number of problems present in the logarithmÂ

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.Â

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 â€“ (1) product property, (2) quotient property, (3) power property, and (4) change of base property.Â

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.Â

3. What are Logarithmic Functions?

Ans. The inverse of exponential functions is termed as logarithmic functions. The logarithmic function, y = log_{a}x corresponds to the exponential equation, x = ay. y = log_{a}x. However, this relation holds only under a specific condition. Only if â€“ (1) x = a^{y}, (2) a > 0, and (3) aâ‰ 1, will the relation be applicable.Â

Having a clear idea about logarithmic functions is essential for solving even the basic log questions.