## Simplifying Logarithmic Expressions Questions 8

In this page simplifying logarithmic expressions questions 8 we are going to see solution of eight question.

Question 8

Simplify log ₃ (65/21) + log ₃ (21/13)

Solution:

Basic idea : Here totally we have two terms of same bases. So we have to combine them by using logarithmic formulas. Here instead of writing two log terms we can write single term and multiply 65/21 by 21/13.

= log ₃ (65/21) + log ₃ (21/13)

= log ₃ [ (65/21) x (21/13) ]

= log ₃ (65/13)

= log ₃ 5

 Question 1Simplify log ₃ 15 - log ₃ 5 + 2 log ₃ 5 Solution Question 2Simplify 2 + 2 log₂ 5 - 3 log₂ 3 Solution Question 3Simplify 2 log₂ 5 - 3 log₂ 3 Solution Question 4Simplify ½ log ₉ 36+2 log ₉4-3log ₉ 4 Solution Question 5Simplify log ₅ 8 + log ₅ (1/1000) Solution Question 6Simplify ½ log ₅ 36 - ⅓ log ₅ 8 + 3 log ₈ 2 Solution Question 7Simplify 3 + 5 log ₃ 5 Solution Question 9Simplify log ₅ 5+log ₅ 20-log ₅24+log ₅ 25 - 3 Solution Question 10Simplify 2 log ₄2+3 log ₂ 5 - log ₂ 15 + log ₂ 7 Solution

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