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

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

योग

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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अध्याय 10: Logarithms - Exercise 10.2

अध्याय 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 (a + b) = log a + log b, find a in terms of b.

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

Prove that:

log₁₀ 125 = 3(1 - log₁₀2).

Express the following in terms of log 2 and log 3: log 54

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

Express the following as a single logarithm:

`2"log"(9)/(5) - 3"log"(3)/(5) + "log"(16)/(20)`

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