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3 – 5 log_10 2 is equal to ______. - Mathematics

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Question

3 – 5 log10 2 is equal to ______.

Options

  • `log  225/4`

  • `log  125/4`

  • `log  75/4`

  • `log  25/4`

MCQ
Fill in the Blanks
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Solution

3 – 5 log10 2 is equal to `underlinebb(log  125/4)`.

Explanation:

3 = log 103 

= log 1000

And 5 log 2

= log 25 

= log 32

So 3 – 5 log 2

= log 1000 – log 32

= `log (1000/32)` 

= `log (125/4)`

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Chapter 7: Logarithms - Exercise 7C [Page 148]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 7 Logarithms
Exercise 7C | Q 8. | Page 148
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