If Log 2 = 0.3010, Log 3 = 0.4771 and Log 5 = 0.6990, Find the Values Of: Log45 - Mathematics

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log45

योग

log45
= log (3² x 5)
= log 3² + log 5
= 2 log 3 + log 5
= (2 x 0.4771) + 0.6990
= 1.6532.

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Expansion of Expressions with the Help of Laws of Logarithm

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अध्याय 10: Logarithms - Exercise 10.2

अध्याय 10 Logarithms
Exercise 10.2 | Q 19.2

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

If log₁₀ 8 = 0.90; find the value of : log 0.125

Prove that : If a log b + b log a - 1 = 0, then b^a. a^b = 10

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Express the following in terms of log 5 and/or log 2: log125

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`2"log"(9)/(5) - 3"log"(3)/(5) + "log"(16)/(20)`

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`3"log"(5)/(8) + 2"log"(8)/(15) - (1)/(2)"log"(25)/(81) + 3`

Simplify: log b ÷ log b²