If Log1025 = X and Log1027 = Y; Evaluate Without Using Logarithmic Tables, in Terms of X and Y: Log103 - Mathematics

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

योग

log₁₀27 = y
⇒ log₁₀3³ = y
⇒ 3log₁₀3 = y
⇒ log₁₀3 = `y/(3)`.

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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 18.2

If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 15

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

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

Express the following as a single logarithm:

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

Simplify the following:

`2 "log" 5 +"log" 8 - (1)/(2) "log" 4`

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

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

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

Simplify: log a² + log a^-1

Find the value of:

`("log"sqrt(27) + "log"8 + "log"sqrt(1000))/("log"120)`