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

योग

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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अध्याय 10: Logarithms - Exercise 10.2

अध्याय 10 Logarithms
Exercise 10.2 | Q 1.4

If log₅ x = y, find 5^{2y+ 3} in terms of x.

Simplify : log (a)³÷ log a

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: log80

Express the following in terms of log 5 and/or log 2: log125

Express the following as a single logarithm:

`2 "log" 3 - (1)/(2) "log" 16 + "log" 12`

Express the following as a single logarithm:

`2"log"(15)/(18) - "log"(25)/(162) + "log"(4)/(9)`

Express the following as a single logarithm:

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

If log₁₀25 = x and log₁₀27 = y; evaluate without using logarithmic tables, in terms of x and y: log₁₀5

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log45