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

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 log₁₀2 = a and log₁₀3 = b ; express each of the following in terms of 'a' and 'b': log 2.25

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

If log₁₀ 8 = 0.90; find the value of : log√32

If log 27 = 1.431, find the value of : log 300

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

Express the following in terms of log 2 and log 3: `"log"root(5)(216)`

Write the logarithmic equation for:

E = `(1)/(2)"m v"^2`

Express the following as a single logarithm:

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

Simplify the following:

`12"log" (3)/(2) + 7 "log" (125)/(27) - 5 "log" (25)/(36) - 7 "log" 25 + "log" (16)/(3)`

If log 8 = 0.90, find the value of each of the following: `"log"sqrt(32)`