## Simplifying Logarithmic Expressions Questions 1

In this page simplifying logarithmic expressions questions 1 we are going to see solution of the first question.

Question 1

Simplify log ₃ 15 - log ₃ 5 + 2 log ₃ 5

Solution:

Basic idea : Here totally we have three terms of same bases. So we have to combine them by using logarithmic formulas. Let us consider the first two terms instead of writing two log terms we can write single term and divide 15 by 5.

= log ₃ 15 - log ₃ 5 + 2 log ₃ 5

= log ₃ (15/5) + 2 log ₃ 5

= log ₃ 3 + 2 log ₃ 5

= log ₃ 3 + log ₃ 5²

= log ₃ 3 + log ₃ 25

= log ₃ ( 3 x 25 )

= log ₃ 75

Try these questions also

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