If Log1025 = X and Log1027 = Y; Evaluate Without Using Logarithmic Tables, in Terms of X and Y: Log105 - Mathematics

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

Sum

log₁₀25 = x
⇒ log₁₀5² =x
⇒ 2log₁₀5 = x
⇒ log₁₀5 = `x/(2)`.

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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 18.1

Write the logarithmic equation for:

V = `(1)/("D"l) sqrt("T"/(pi"r")`

Express the following as a single logarithm:

`2 + 1/2 "log" 9 - 2 "log" 5`

Simplify the following:

`2"log" 7 + 3 "log" 5 - "log"(49)/(8)`

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 75

If log 4 = 0.6020, find the value of each of the following: log8

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

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

If log 27 = 1.431, find the value of the following: log300

Simplify: log b ÷ log b²

Find the value of:

`("log"sqrt(8))/(8)`