Logarithms, Mathematics

We know that 24 = 16 and also that 2 is referred to as the base, 4 as the index or power or the exponent. The same if expressed in terms of logarithms would be log216 = 4 and is read as the logarithm of 16 to base 2 is 4. Hence we define the logarithm of a number to a given base as the index or the power to which the base should be raised in order to yield the given number. We look at the following example.

What would be the value of log12144?

If we assume x to be the value then

                   log12144 = x

This is the same as 144 = 12x. That is, 12 should be raised or in other words multiplied by itself so that the resultant value is 144. We find that 12 when multiplied twice would give 144. That is, the value of x = 2. This gives the value of log12144 as 2.

Posted Date: 9/13/2012 5:38:57 AM | Location : United States







Related Discussions:- Logarithms, Assignment Help, Ask Question on Logarithms, Get Answer, Expert's Help, Logarithms Discussions

Write discussion on Logarithms
Your posts are moderated
Related Questions
What is the greatest common factor of 24 and 64? List the factors of 24 and 64. The largest factor that they have in common is the greatest common factor. Factors of 24: 1,

Initial Condition(s) are a set of conditions, or a condition on the solution which will permit us to find out that solution which we are after.  Initial conditions are frequently a

In this case we are going to consider differential equations in the form, y ′ +  p   ( x ) y =  q   ( x ) y n Here p(x) and q(x) are continuous functions in the

the area of a triangle is 20 and its base is 16. Find the base of a similar triangle whose area is 45. Given is a regular pentagon. Find the measure of angle LHIK.

Problem1: Find the general solution on -π/2 Dy/dx +(tan x)y =(sin 2 x)y 4

An irregular perimeter to the circumference of a circle such as a protrusion


All about fractions

Find the common difference of an AP whose first term is 100 and sum of whose first 6 terms is 5 times the sum of next 6 terms. Ans:    a = 100 APQ a 1 + a 2 + ....... a 6

DEVELOPMENT IS CONTINUOUSLY GOING ON :  Think of any two children around you. Would you say that they are alike? Do they learn the same things the same way? It is very unlikely be