Express the Following in Terms of Log 2 and Log 3: Log 54

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

बेरीज

log 54
= log (2 x 3 x 3 x 3)
= log (2 x 3³)
= log 2 + log 3³
= log 2 + 3 log 3.

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Expansion of Expressions with the Help of Laws of Logarithm

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पाठ 10: Logarithms - Exercise 10.2

पाठ 10 Logarithms
Exercise 10.2 | Q 1.2

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

Express the following in terms of log 2 and log 3: log 216

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

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:

`(1)/(2)"log"25 - 2"log"3 + "log"36`

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: log540

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