Express the Following in Terms of Log 5 And/Or Log 2: Log20

Express the following in terms of log 5 and/or log 2: log20

Sum

log20
= log (2² x 5)
= log 2² + log 5
= 2 log 2 + log 5.

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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 2.1

If log 2 = 0.3010 and log 3 = 0.4771 ; find the value of : log 1.2

If log 27 = 1.431, find the value of : log 9

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

Express the following in terms of log 2 and log 3: `"log"root(5)(216)`

Express the following as a single logarithm:

`2"log"(15)/(18) - "log"(25)/(162) + "log"(4)/(9)`

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 720

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

Simplify: log a² + log a^-1

Find the value of:

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

Find the value of:

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