Properties of logarithms, Mathematics

Assignment Help:

Properties of Logarithms

1. loga xy
= loga x + loga y
2. 727_properties of logs.png
= loga x - loga y
3. loga xn 
= n loga x
4. 1061_properties of logs1.png
   
5. logba. logab = 1
   
6. logax = logbx . logab
   

Logarithmic functions with respect to base 'e' are called natural logarithmic functions and are expressed as y = logex. 'logex' is commonly written as 'ln x'. Thus 'ln x' is the power to which 'e' must be raised to get x.

The relationship between natural logarithm and logarithm with respect to any base other than 'e' is:

logex = logax . logea


Related Discussions:- Properties of logarithms

Distinct roots, There actually isn't a whole lot to do throughout this case...

There actually isn't a whole lot to do throughout this case.  We'll find two solutions which will form a basic set of solutions and therefore our general solution will be as,

Finding length and height with volume and width?, I figured out the volume ...

I figured out the volume and the width, but I have no idea how to use that information to get the height and the length!

Properties of reflection, explain under a reflection the image is laterally...

explain under a reflection the image is laterally inverted.

Find out a vector that is orthogonal to the plane, A plane is illustrated b...

A plane is illustrated by any three points that are in the plane.  If a plane consists of the points P = (1, 0,0) , Q = (1,1,1) and R = (2, -1, 3) find out a vector that is orthogo

Calculate the price of the horseracing track, There are five horseracing tr...

There are five horseracing tracks in Kentucky. The Kentucky legislature allows only one track to be open at a time. How does this restriction affect the price the track can charge

Circles, examples of construction of excircles

examples of construction of excircles

Levels of significance - rejection and acceptance regions, Levels of signif...

Levels of significance A level of significance is a probability value which is utilized when conducting tests of hypothesis. A level of significance is mostly the probability

Example of addition, Example 1 Add 4x 4 + 3x 3 - ...

Example 1 Add 4x 4 + 3x 3 - x 2 + x + 6 and -7x 4 - 3x 3 + 8x 2 + 8x - 4 We write them one below the other as shown below.

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