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

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

Sum

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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Chapter 10: Logarithms - Exercise 10.2

Chapter 10 Logarithms
Exercise 10.2 | Q 18.2

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

If log₁₀2 = a and log₁₀3 = b ; express each of the following in terms of 'a' and 'b': log 2.25

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

Express the following in terms of log 2 and log 3: log 144

Simplify the following:

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

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

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

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

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