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

Separable differential equations, We are here going to begin looking at non...

We are here going to begin looking at nonlinear first order differential equations. The first type of nonlinear first order differential equations which we will see is separable di

What is the net surface area to be painted, You are painting the surface of...

You are painting the surface of a silo that has a diameter of 16 ft and height of 50 ft. What is the net surface area to be painted? Consider the top of the silo is  1/2 a sphere

Example of optimization , A piece of pipe is carried down a hallway i.e 10 ...

A piece of pipe is carried down a hallway i.e 10 feet wide.  At the ending of the hallway the there is a right-angled turn & the hallway narrows down to 8 feet wide. What is the lo

Las leyes de kepler, la expresión que permite calcular el radio medio de la...

la expresión que permite calcular el radio medio de la órbita de cada planeta es?

Integers satisfy the inequality, How many integers satisfy the inequality |...

How many integers satisfy the inequality |10(x+1)/x^2+2x+3|=1? Solution) first thing thats not an inequality, and second thing its very easy if thats the question. the LHS = |10/

Roman numerals, how to determine roman numerals to digits specially when it...

how to determine roman numerals to digits specially when it hundred thousands

Probability, Mike sells on the average 15 newspapers per week (Monday – Fri...

Mike sells on the average 15 newspapers per week (Monday – Friday). Find the probability that 2.1 In a given week he will sell all the newspapers

Decision theory, DECISION THEORY People constantly make decision...

DECISION THEORY People constantly make decisions in their private lives as well as in their work. Some decisions are qualitative in terms of their implications and signi

Derivatives with chain rule, Chain Rule : We've seen many derivatives...

Chain Rule : We've seen many derivatives.  However, they have all been functions similar to the following kinds of functions. R ( z ) = √z      f (t ) = t 50

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