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 1

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


Solution

Question 2

Simplify 2 + 2 log₂ 5 - 3 log₂ 3


Solution

Question 3

Simplify 2 log₂ 5 - 3 log₂ 3


Solution

Question 4

Simplify ½ log 36+2 log ₉4-3log ₉ 4


Solution

Question 6

Simplify

½ log 36 - ⅓ log ₅ 8 + 3 log 2


Solution

Question 7

Simplify 3 + 5 log ₃ 5


Solution

Question 8

Simplify

log ₃ (65/21) + log ₃ (21/13)


Solution

Question 9

Simplify

log ₅ 5+log ₅ 20-log ₅24+log ₅ 25 - 3


Solution

Question 10

Simplify

2 log 2+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 5 simplifying logarithmic expressions questions 5

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