Write the Logarithmic Equation For: E = 1 2 M V 2 - Mathematics

Write the logarithmic equation for:

E = `(1)/(2)"m v"^2`

Sum

E = `(1)/(2)"m v"^2`
Considering log on both the sides, we get

logE = `"log"(1/2 "m v"^2)`

= `"log"(1)/(2) + "log" "m" + "log" "v"^2`
= log1 - log2 + logm + 2logv
= logm + 2logv - log2.

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 4.2

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

If log₁₀ 8 = 0.90; find the value of : log√32

Write the logarithmic equation for:

F = `"G"("m"_1"m"_2)/"d"^2`

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 2.25

If log a = p and log b = q, express `"a"^3/"b"^2` in terms of p and q.

If 2 log x + 1 = 40, find: x

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

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

Simplify: log a² + log a^-1