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Express the following in terms of log 2 and log 3: log 13.5 - Mathematics

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Question

Express the following in terms of log 2 and log 3:

log 13.5

Sum
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Solution

Given: log 13.5

Step-wise calculation:

1. `13.5 = 27/2`

2. log 13.5

= `log (27/2)` 

= log 27 – log 2

3. log 27

= log (33)

= 3 log 3

log 13.5 = 3 log 3 – log 2

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Chapter 7: Logarithms - Exercise 7B [Page 146]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 7 Logarithms
Exercise 7B | Q 3. (iii) | Page 146
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