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

Given 3log x + `1/2`log y = 2, express y in term of x.

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

If log₁₀ 8 = 0.90; find the value of : log 0.125

If log₁₀ 8 = 0.90; find the value of : log√32

Prove that:

log₁₀ 125 = 3(1 - log₁₀2).

Express the following as a single logarithm:

`2"log" (16)/(25) - 3 "log" (8)/(5) + "log" 90`

Express the following as a single logarithm:

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

Simplify the following:

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

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

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