Logarithms, Mathematics

Assignment Help:

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.


Related Discussions:- Logarithms

Calculate the profit of company, Company A and Company B have spent a lot o...

Company A and Company B have spent a lot of money on research to develop a cure for the common cold. Winter is approaching and there is certainly going to be a lot of demand for th

Millie purchased six bottles of soda how much she pay, Millie purchased six...

Millie purchased six bottles of soda at $1.15 each. How much did she pay? To ?nd out the total cost of six bottles, you must multiply the cost per bottle through 6; $1.15 × 6 =

People fit, How many people ca fi in a small cars without seats?

How many people ca fi in a small cars without seats?

Applying percents, If a single person makes $25,00 a year, how much federal...

If a single person makes $25,00 a year, how much federal income tax will he or she have to pay ?And they are gining me a chart that says $0 to $27,050 is 15% of taxes .

How to add fractions involving negative numbers, Q. How to add fractions In...

Q. How to add fractions Involving Negative Numbers? Ans. Adding fractions involving negative numbers, and subtracting them, are only slightly different. But, I'll write do

Angles of elevation and depression, Can someone please help me grasp the co...

Can someone please help me grasp the concept of angles of depression and elevation?

Compute the double integral - triangle with vertices, 1) let R be the trian...

1) let R be the triangle with vertices (0,0), (pi, pi) and (pi, -pi). using the change of variables formula u = x-y and v = x+y , compute the double integral (cos(x-y)sin(x+y) dA a

Linear programming , A paper mill produces two grades of paper viz., X and ...

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i

Functions, find the domain of the function f(x) = (| sin inverse sin x | - ...

find the domain of the function f(x) = (| sin inverse sin x | - cos inverse cos x) ^ 1/2

More optimization problems, More Optimization Problems Example   A w...

More Optimization Problems Example   A window is being built in which the bottom is rectangle and the top is a semicircle. If there framing materials is 12 meters what have

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd