Express the Following in Terms of Log 2 and Log 3: Log 144

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

बेरीज

log 144
= log (2⁴ x 3²)
= log 2⁴ + log3²
= 4 log 2 + 2 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 1.3

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

If 2 log y - log x - 3 = 0, express x in terms of y.

Express the following in terms of log 5 and/or log 2: log80

Express the following in terms of log 2 and log 3: `"log" root(4)(648)`

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)`

Simplify the following:

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

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 75

If 2 log y - log x - 3 = 0, express x in terms of y.

Simplify: log b ÷ log b²