If Log 2 = X and Log 3 = Y, Find the Value of Each of the Following on Terms of X and Y: Log60 - Mathematics

If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log60

बेरीज

log60
= log (2 x 3 x 10)
= log 2 + log 3 + log 10
= x + y + 1.

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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 21.1

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

If log 27 = 1.431, find the value of : log 9

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

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

Express the following in terms of log 2 and log 3: log12⁸

Express the following in terms of log 2 and log 3: `"log"(225)/(16) - 2"log"(5)/(9) + "log"(2/3)^5`

Write the logarithmic equation for:

n = `sqrt(("M"."g")/("m".l)`

Express the following as a single logarithm:

`2"log"(15)/(18) - "log"(25)/(162) + "log"(4)/(9)`

Simplify the following:

`3"log" (32)/(27) + 5 "log"(125)/(24) - 3"log" (625)/(243) + "log" (2)/(75)`

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 12