Express the Following in Terms of Log 5 And/Or Log 2: Log500

Express the following in terms of log 5 and/or log 2: log500

बेरीज

log500
= log (2² x 5³)
= log 2²+ log 5³
= 2 log 2 + 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 2.5

If 3( log 5 - log 3 ) - ( log 5 - 2 log 6 ) = 2 - log x, find x.

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

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

Prove that:

log₁₀ 125 = 3(1 - log₁₀2).

Express the following in terms of log 2 and log 3: log 54

Express the following as a single logarithm:

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

If log x = p + q and log y = p - q, find the value of log `(10x)/y^2` in terms of p and q.

If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log60

If log 4 = 0.6020, find the value of each of the following: log2.5

If log 8 = 0.90, find the value of each of the following: log4