Express the Following in Terms of Log 2 and Log 3: Log 216 - Mathematics

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

बेरीज

log 216
= log (2³ x 3³)
= log 2³ + log 3³
= 3 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 1.4

Express the following in terms of log 2 and log 3: log 36

Express the following in terms of log 5 and/or log 2: log500

Express the following in terms of log 2 and log 3: `"log" root(3)(144)`

Express the following as a single logarithm:

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

Express the following as a single logarithm:

`3"log"(5)/(8) + 2"log"(8)/(15) - (1)/(2)"log"(25)/(81) + 3`

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 12

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If log 8 = 0.90, find the value of each of the following: log4

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

If x² + y² = 7xy, prove that `"log"((x - y)/3) = (1)/(2)` (log x + log y)