Express the Following in Terms of Log 5 And/Or Log 2: Log250

Express the following in terms of log 5 and/or log 2: log250

बेरीज

log250
= log (5³ x 2)
= log 5³ + log2
= 3log 5 + log2.

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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 2.6

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

If log 2 = 0.3010 and log 3 = 0.4771 ; find the value of : log 1.2

Given `log_x 25 - log_x 5 = 2 - log_x (1/125)` ; find x.

Given log x = 2m - n , log y = n - 2m and log z = 3m - 2n , find in terms of m and n, the value of log `(x^2y^3 ) /(z^4) `.

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

Write the logarithmic equation for:

n = `sqrt(("M"."g")/("m".l)`

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

Express the following as a single logarithm:

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

If log 27 = 1.431, find the value of the following: log 9

Find the value of:

`("log"sqrt(8))/(8)`