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

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

बेरीज

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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पाठ 10: Logarithms - Exercise 10.2

पाठ 10 Logarithms
Exercise 10.2 | Q 19.3

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

If log₁₀ a = b, find 10^{3b - 2} in terms of a.

Prove that:

log₁₀ 125 = 3(1 - log₁₀2).

Given log x = 2m - n , log y = n - 2m and log z = 3m - 2n , find in terms of m and n, the value of log `(x^2y^3 ) /(z^4) `.

Express the following in terms of log 5 and/or log 2: log80

Express the following in terms of log 2 and log 3: `"log"(26)/(51) - "log"(91)/(119)`

Express the following as a single logarithm:

`2"log" (16)/(25) - 3 "log" (8)/(5) + "log" 90`

If log₁₀25 = x and log₁₀27 = y; evaluate without using logarithmic tables, in terms of x and y: log₁₀5

If log₁₀25 = x and log₁₀27 = y; evaluate without using logarithmic tables, in terms of x and y: log₁₀3

If log 4 = 0.6020, find the value of each of the following: log2.5