Express the Following in Terms of Log 5 And/Or Log 2: Log80 - Mathematics

Express the following in terms of log 5 and/or log 2: log80

Sum

log80
= log (2⁴ x 5)
= log 2⁴ + log 5
= 4 log 2 + log 5.

shaalaa.com

Expansion of Expressions with the Help of Laws of Logarithm

Is there an error in this question or solution?

Chapter 10: Logarithms - Exercise 10.2

Chapter 10 Logarithms
Exercise 10.2 | Q 2.2

Given 3log x + `1/2`log y = 2, express y in term of x.

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

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 36

Express the following in terms of log 2 and log 3: log 144

Express the following in terms of log 2 and log 3: `"log"root(5)(216)`

Express the following in terms of log 2 and log 3: `"log"(26)/(51) - "log"(91)/(119)`

Write the logarithmic equation for:

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

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log45

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