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Logarithms | Logarithms Exercise 9.2

Question 28

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  • Solution

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"hey guys welcome to lido q a video i am vinit your lido tutor glad to bring you this question on your screen show that 1 by log 42 base 2 plus 1 by log 43 base 3 plus 1 by log 42 base 7 it won so looks hard it's very easy guys we'll look at it so 1 by log 42 base 2 plus 1 by log 42 base 3 plus 1 by log 42 base 7 can be written as 1 by log 42 by log 2 plus 1 by log 42 by log 3 plus 1 by log 42 by log 7 since log m base n can be written as log m by log n right so this is equal to log 2 by log 42 plus log 3 by log 42 plus log 7 by log 42 so this is equal to log 2 into 3 into 7 by log 42 this is equal to log 42 by log 42 that is equal to 1 proofed now for number 2 says 1 by log 36 base 8 plus 1 by log 36 base 9 plus 1 by log x base 18 can be written as 1 by log 36 by log 8 plus 1 by log 36 by log 9 plus 1 by log 36 by log e t since log m base n is equal to log m by log n right so this is equal to log 8 by log 36 plus log 9 by log 36 plus log 18 by log 36 the denominators are same so we just add the numerators so log 8 plus log 9 plus log 18 will be log 8 into 9 into 80 by log 36 so this is log 36 square by log 36 which is equal to 2 log 36 by log 36 so that is equal to 2 hence proved if you still have it out please leave a comment below do like the video and subscribe to our channel i'll see you in our next video until then bye guys keep practicing you"

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Question 28

. Show that:

  • Solution

  • Transcript

"hey guys welcome to lido q a video i am vinit your lido tutor glad to bring you this question on your screen show that 1 by log 42 base 2 plus 1 by log 43 base 3 plus 1 by log 42 base 7 it won so looks hard it's very easy guys we'll look at it so 1 by log 42 base 2 plus 1 by log 42 base 3 plus 1 by log 42 base 7 can be written as 1 by log 42 by log 2 plus 1 by log 42 by log 3 plus 1 by log 42 by log 7 since log m base n can be written as log m by log n right so this is equal to log 2 by log 42 plus log 3 by log 42 plus log 7 by log 42 so this is equal to log 2 into 3 into 7 by log 42 this is equal to log 42 by log 42 that is equal to 1 proofed now for number 2 says 1 by log 36 base 8 plus 1 by log 36 base 9 plus 1 by log x base 18 can be written as 1 by log 36 by log 8 plus 1 by log 36 by log 9 plus 1 by log 36 by log e t since log m base n is equal to log m by log n right so this is equal to log 8 by log 36 plus log 9 by log 36 plus log 18 by log 36 the denominators are same so we just add the numerators so log 8 plus log 9 plus log 18 will be log 8 into 9 into 80 by log 36 so this is log 36 square by log 36 which is equal to 2 log 36 by log 36 so that is equal to 2 hence proved if you still have it out please leave a comment below do like the video and subscribe to our channel i'll see you in our next video until then bye guys keep practicing you"

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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