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Express the Following in Terms of Log 2 and Log 3: Log 54

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Question

Express the following in terms of log 2 and log 3: log 54

Sum
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Solution

log 54
= log (2 x 3 x 3 x 3)
= log (2 x 33)
= log 2 + log 33
= log 2 + 3 log 3.

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Expansion of Expressions with the Help of Laws of Logarithm
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Chapter 7: Logarithms - Exercise 10.2

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Frank Mathematics Part 1 [English] Class 9 ICSE
Chapter 7 Logarithms
Exercise 10.2 | Q 1.2
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