## Simplifying Logarithmic Expressions Questions 5

In this page simplifying logarithmic expressions questions 5 we are going to see solution of first question.

Question 5

Simplify log 8log ₅ (1/1000)

Solution:

Basic idea : Here totally we have two terms of same bases. First we have to combine them by using logarithmic formulas. Instead of writing two log terms we can write single term and multiply 8 by 1/1000.

= log ₅ 8 + log ₅ (1/1000)

= log (8 x 1/1000)

= log (8/1000)

= log (1/125)

= log (1/5³)

= log (5³)

= -3 log 5

= -3 (1)

= -3

 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 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 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

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: