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Express in Terms of Log 2 and Log 3 : Log 4.5 - Mathematics

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Question

Express in terms of log 2 and log 3 : log 4.5

Sum

Solution

log 4.5

= log`45/10`

= log`[ 5 xx 3 xx 3 ]/[ 5 xx 2 ]`

 = log`[ 3^2]/[2 ]`

= log 32 - log 2   .....[ loga`m/n` = logam - logan ]

= 2log3 - log 2   ......[ logamn = nlogam ]

shaalaa.com
Laws of Logarithm
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Chapter 8: Logarithms - Exercise 8 (B) [Page 106]

APPEARS IN

Selina Concise Mathematics [English] Class 9 ICSE
Chapter 8 Logarithms
Exercise 8 (B) | Q 1.3 | Page 106
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