If Log 2 = X and Log 3 = Y, Find the Value of Each of the Following on Terms of X and Y: Log1.2 - Mathematics

If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log1.2

Sum

log1.2
= `"log"(12/10)`
= log 12 - log 10
= log (2² x 3) - 1
= log 2² + log 3 - 1
= 2 log 2 + log 3 - 1
= 2x + y - 1.

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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 21.2

Given 2 log₁₀ x + 1 = log₁₀ 250, find :
(i) x
(ii) log₁₀ 2x

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If 2 log y - log x - 3 = 0, express x in terms of y.

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`"log"(81)/(8) - 2"log"(3)/(5) + 3"log"(2)/(5) + "log"(25)/(9)`

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

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