Logarithm equations, Algebra

Assignment Help:

Now we will discuss as solving logarithmic equations, or equations along with logarithms in them.  We will be looking at two particular types of equations here. In specific we will look at equations wherein every term is a logarithm & we also look at equations wherein all but one term in the equation is a logarithm & the term without the logarithm will be a constant.  Also, we will be supposing that the logarithms in each of the equation will have the similar base. If there is more than one base in the logarithms into the equation the solution procedure becomes much more difficult.

Before we get into the solution procedure we will have to remember that we can just plug +ve numbers into a logarithm.  

Now, let's begin by looking at equations wherein each term is a logarithm and all the bases on the logarithms are the similar.  In this case we will employ the fact that,

                         If  logb  x = logb  y then x = y

 In other terms, if we've got two logs in the problem, one on either side of an equal sign & both with a coefficient of one, after that we can just drop the logarithms.


Related Discussions:- Logarithm equations

Basic fact, What is a Math Basic Fact?

What is a Math Basic Fact?

Methods of elimination - linear systems, Methods of elimination Example...

Methods of elimination Example 1 Solve out the given system of equations. x - 2 y + 3z = 7 2 x + y + z = 4 -3x + 2 y - 2 z = -10 Solution We will try and find

Varibles, 2x-1=10 I got 9/2 but i''m not sure if that is really right

2x-1=10 I got 9/2 but i''m not sure if that is really right

Find the inverse of a given function, Given f ( x ) = 3x - 2 find f -1 ( ...

Given f ( x ) = 3x - 2 find f -1 ( x ). Solution Now, already we know what the inverse to this function is as already we've done some work with it.  Though, it would be n

Linear equation and application, Aubrey is 5 years younger than her brother...

Aubrey is 5 years younger than her brother is and three years ago the sum of their ages was 23 years. How old is each now?

Fundamental theorem of algebra, If P (x) is a polynomial of degree n then P...

If P (x) is a polynomial of degree n then P (x) will have accurately n zeroes, some of which might repeat. This fact says that if you list out all the zeroes & listing each one

Number Problems, A three-digit number between 600 and 700 is one less than ...

A three-digit number between 600 and 700 is one less than 30 times the sum of the digits. Of the tens digit is one less than the unit digit, what is the number?

..addition, what is 300000000000000000000+612222

what is 300000000000000000000+612222

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