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

बेरीज

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

shaalaa.com

Expansion of Expressions with the Help of Laws of Logarithm

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

पाठ 10: Logarithms - Exercise 10.2

पाठ 10 Logarithms
Exercise 10.2 | Q 18.2

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

Express the following in terms of log 2 and log 3: log 648

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

Express the following in terms of log 5 and/or log 2: log250

Write the logarithmic equation for:

V = `(4)/(3)pi"r"^3`

Express the following as a single logarithm:

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

Simplify the following:

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

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

If 2 log x + 1 = 40, find: x

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log18