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

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

Sum

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 10: Logarithms - Exercise 10.2

Chapter 10 Logarithms
Exercise 10.2 | Q 1.2

If log 2 = 0.3010 and log 3 = 0.4771 ; find the value of : log 12

If log 2 = 0.3010 and log 3 = 0.4771 ; find the value of : log 1.2

Prove that : (log a)² - (log b)² = log `(( a )/( b ))` . Log (ab)

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Express the following in terms of log 5 and/or log 2: log500

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F = `"G"("m"_1"m"_2)/"d"^2`

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Find the value of:

`("log"sqrt(27) + "log"8 + "log"sqrt(1000))/("log"120)`