Express the Following in Terms of Log 5 And/Or Log 2: Log20

Express the following in terms of log 5 and/or log 2: log20

बेरीज

log20
= log (2² x 5)
= log 2² + log 5
= 2 log 2 + log 5.

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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 2.1

If log₁₀2 = a and log₁₀3 = b ; express each of the following in terms of 'a' and 'b': log 2.25

Given: log₃ m = x and log₃n = y.

Write down `3^(1 - 2y + 3x)` in terms of m and n.

Simplify : log (a)³÷ log a

Express the following in terms of log 2 and log 3: log12⁸

Write the logarithmic equation for:

F = `"G"("m"_1"m"_2)/"d"^2`

Write the logarithmic equation for:

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

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

If log x = A + B and log y = A-B, express the value of `"log" x^2/(10y)` in terms of A and B.

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

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