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Date:___________________

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High School Mathematics
3.15 Simplifying the Logarithms - II

Example:
Simplify, log (36/25) + log (1225/36) - log (98/4).
Solution:
log (36/25) = log 36 - log 25
= log 62 - log 52
= 2log 6 - 2log 5.
log (1225/36) = log 1225 - log 36
= log (52.72) - log 62
= 2log 5 + 2log 7 - 2log 6.
log (98/4) = log 98 - log 4
= log (72.2) - log 22
= 2log 7 + log 2 - 2log 2
= 2log 7 + log 2
Therefore, log (36/25) + log (1225/36) - log (98/4) = [2log 6 - 2log 5] + [2log 5 + 2log 7 - 2log 6] - [2log 7 + log 2]
= 2log 6 - 2log 5 + 2log 5 + 2log 7 - 2log 6 - 2log 7 - log 2
= log 2
Directions: Solve the following problems. Also write at least ten examples of your own.

Name: ___________________

Date:___________________

High School Mathematics
3.15 Simplifying the Logarithms - II

Q 1: Simplify, log (9000/343) + log (441/1000) - log (81/49).
log 3
log 2
log 5
log 7

Q 2: Simplify, log (392/121) + log (99/1960) - log (9/605).
log 5
log 3
log 11
log 7

Q 3: Simplify, log (676/369) + log (75/8281) - log (100/17787).
log 3
log 11
log 5
log 13

Q 4: Simplify, log (162/343) +2log (7/9) - log (1/7).
log 5
log 7
log 2
log 3

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Question 6: This question is available to subscribers only!


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