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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics
3.4 Problems on Logarithms - VIII

Example:
Find the value of loga (a6/7).
Solution:
Let loga (a6/7) = x
By definition of logarithm,
(a)x = (a6/7)
= (a6/7)1/2
= a6/7 * 1/2
= a3/7
a = a * a = (a)2
(a)x = (a)2)3/7
= (a)2*3/7
(a)x = (a)6/7
Bases are equal so indices are equal.
Therefore, x = 6/7
i.e., loga (a6/7) = 6/7
Directions: Solve the following problems. Also write at least ten examples of your own.
Q 1: Find the value of loga (a8/9).
8
9
9/8
8/9

Q 2: Find the value of loga (a7/6).
7/6
6/7
7
6

Q 3: Find the value of loga (a6/5).
6/5
5/6
6
5

Q 4: Find the value of loga (a8/5).
8/5
5
8
5/8

Q 5: Find the value of loga (a4/3).
4
3/4
4/3
3

Q 6: Find the value of loga (a16/3).
3/16
3
16
16/3

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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