## 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:

It subtracts sadness and adds happiness in our life.

It divides sorrow and multiplies forgiveness and love.

Some people would not be able accept that the subject Math is easy to understand. That is because; they are unable to realize how the life is complicated. The problems in the subject Math are easier to solve than the problems in our real life. When we people are able to solve all the problems in the complicated life, why can we not solve the simple math problems?

Many people think that the subject math is always complicated and it exists to make things from simple to complicate. But the real existence of the subject math is to make things from complicate to simple.” simplifying logarithmic expressions questions 9  simplifying logarithmic expressions questions 9