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

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

If log (a + 1) = log (4a - 3) - log 3; find a.

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

Express the following in terms of log 2 and log 3: log 648

Express the following as a single logarithm:
log 18 + log 25 - log 30

Express the following as a single logarithm:

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

Simplify the following:

`12"log" (3)/(2) + 7 "log" (125)/(27) - 5 "log" (25)/(36) - 7 "log" 25 + "log" (16)/(3)`

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: `"log" sqrt(72)`

If log 8 = 0.90, find the value of each of the following: `"log"sqrt(32)`