## Simplifying Logarithmic Expressions Questions 9

In this page simplifying logarithmic expressions questions 9 we are going to see solution of ninth question.

Question 9

Simplify log ₅ 5 + log ₅ 20 - log ₅ 24 + log ₅ 25 - 3

Solution:

Basic idea : Here totally we have five terms. Here we have 4 terms with same bases. First let us combine them by using logarithmic formulas. Then we have to write log with base 5 like others then we have to combine them with other terms.

= log ₅ 5 + log ₅ 20 - log ₅ 24 + log ₅ 25 - 3

= log ₅ 5 + log ₅ 20 + log ₅ 25 - log ₅ 24 - 3

= log ₅ (5 x 20 x 25) - log ₅ 24 - 3

= log ₅ (2500) - log ₅ 24 - 3 (1)

= log ₅ (2500) - log ₅ 24 - 3 log ₅ 5

= log ₅ (2500) - log ₅ 24 - log ₅ 5³

= log ₅ (2500) - log ₅ 24 - log ₅ 125

= log ₅ (2500) - [log ₅ 24 + log ₅ 125]

= log ₅ (2500) - [ log ₅ (24 x 125) ]

= log ₅ 2500 - log ₅ 3000

= log ₅ [2500/3000]

= log ₅ [25/30]

= log ₅ (5/6)

 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 8Simplify log ₃ (65/21) + log ₃ (21/13) Solution simplifying logarithmic expressions questions 9 Question 10Simplify 2 log ₄2+3 log ₂ 5 - log ₂ 15 + log ₂ 7 Solution Quote on Mathematics

“Mathematics, without this we can do nothing in our life. Each and everything around us is math.

Math is not only solving problems and finding solutions and it is also doing many things in our day to day life.  They are: