Express the Following in Terms of Log 5 And/Or Log 2: Log125

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

बेरीज

log125
= log 5³
= 3 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 2.3

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

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

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

Given: log₃ m = x and log₃n = y.

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

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

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

Express the following as a single logarithm:
log 144 - log 72 + log 150 - log 50

Express the following as a single logarithm:

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

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

Find the value of:

`("log"sqrt125 - "log"sqrt(27) - "log"sqrt(8))/("log"6 - "log"5)`