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

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

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

If log₁₀ a = b, find 10^{3b - 2} in terms of a.

Prove that:

log₁₀ 125 = 3(1 - log₁₀2).

Simplify : log (a)³ - log a

Express the following in terms of log 5 and/or log 2: log160

Express the following in terms of log 2 and log 3: `"log"root(5)(216)`

Express the following in terms of log 2 and log 3: `"log"(225)/(16) - 2"log"(5)/(9) + "log"(2/3)^5`

Write the logarithmic equation for:

V = `(4)/(3)pi"r"^3`

Express the following as a single logarithm:

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

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