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

योग

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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अध्याय 10: Logarithms - Exercise 10.2

अध्याय 10 Logarithms
Exercise 10.2 | Q 2.1

If log 27 = 1.431, find the value of : log 300

If 2 log y - log x - 3 = 0, express x in terms of y.

Prove that:

log₁₀ 125 = 3(1 - log₁₀2).

Simplify : log (a)³ - log a

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"(26)/(51) - "log"(91)/(119)`

Express the following as a single logarithm:

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

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 75

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 720

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