If Log 2 = 0.3010, Log 3 = 0.4771 and Log 5 = 0.6990, Find the Values Of: Log540 - Mathematics

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log540

Sum

log540
= log (2² x 3³ x 5)
= log 2² + log 3³+ log 5
= 2 log 2 + 3 log 3 + log 5
= (2 x 0.3010) + (3 x 0.4771) + 0.6990
= 2.7323.

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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 19.3

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