Simplifying Logarithmic Expressions Questions 2

In this page simplifying logarithmic expressions questions 2 we are going to see solution of second question.

Question 2

Simplify 2 + 2 log₂ 5 - 3 log₂ 3

Solution:

Basic idea : Here totally we have three terms. We have bases for only two terms. So first let us combine them by using logarithmic formula. For that we have to write the number before log as power. Let us see the abbreviated steps below.

= 2 + 2 log ₂ 5 - 3 log ₂ 3

= 2 + log ₂ 5² - log ₂ 3³

= 2 + log ₂ 25 - log ₂ 27

= 2 + log ₂ (25/27)

= 2 log ₂ 2 + log ₂ (25/27)

= log ₂ 2² + log ₂ (25/27)

= log ₂ 4 + log ₂ (25/27)

= log ₂ ( 4 x (25/27))

= log ₂ ( 100/27)

 Question 1Simplify log ₃ 15 - log ₃ 5 + 2 log ₃ 5 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 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

simplifying logarithmic expressions questions 2  simplifying logarithmic expressions questions 2 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.

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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.”simplif 