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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics
3.2 Problems on Logarithms - VI

Example:
Find the value of log3381.
Solution:
let log3381 = x
By the definition of logarithm
(33)x = 81
But 3 = 3 * 3 = (3)2
81 = 3 * 3 * 3 * 3 = 34 = [(3)2]4 = (3)8
(3 . 3 . 3)x = (3)8
((3)3)x = (3)8
Bases are equal and so indicies are equal.
3x = 8
Therefore, x = 3/8
i.e.,log3381 = 8/3.
Directions: Solve the following problems. Also write at least ten examples of your own.
Q 1: Find the value of log381.
8
2
4
6

Q 2: Find the value of log7343.
6
4
2
8

Q 3: Find the value of log77343.
5
2
3
4

Q 4: Find the value of log5125.
6
5
4
3

Q 5: Find the value of log264.
8
12
6
4

Q 6: Find the value of log11111331.
4
5
3
2

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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