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

Calculate the value of the following limits, Calculate the value of the fol...

Calculate the value of the following limits. Solution To remind us what this function such as following the graph. hence, we can see that if we reside to the r

Equilibrium solutions, In the earlier section we modeled a population depen...

In the earlier section we modeled a population depends on the assumption that the growth rate would be a constant. Though, in reality it doesn't make much sense. Obviously a popula

Dimensions and degree of an expression, Binomials, Trinomials and P...

Binomials, Trinomials and Polynomials which we have seen above are not the only type. We can have them in a single variable say 'x' and of the form x 2 + 4

Technique of teching, What is a review technique? What are its advantages a...

What is a review technique? What are its advantages and disadvantages?

Interval of validity, The interval of validity for an IVP along with initia...

The interval of validity for an IVP along with initial conditions: y(t 0 ) = y 0 or/and y (k) (t 0 ) = y k There is the largest possible interval on that the solution is va

Word problems, The sum of two numbers is 19, their difference is 5. find th...

The sum of two numbers is 19, their difference is 5. find the numbers

Transpose of a matrix, I didn't understand the concept of Transpose of a Ma...

I didn't understand the concept of Transpose of a Matrix, need assistance.

Naming fractions greater than 1, the 10 miles assigned to the chess club st...

the 10 miles assigned to the chess club start at the 10 mile point and go to the 20 mile point when the chess club members have cleaned 5/8 of their 10 mile section between which m

Right angle trigonometry, use the Pythagorean Theorem to find the length of...

use the Pythagorean Theorem to find the length of the missing side. Then find the indicated trigonometric function of the given angle. give an exact answer with a rational denomina

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