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

Algebraic Equation, The sum of digits of a number is 9 If the digits of the...

The sum of digits of a number is 9 If the digits of the number are reversed the number increases by 45 What is the original number?

Tests for symmetry, We've some rather simply tests for each of the distinct...

We've some rather simply tests for each of the distinct types of symmetry. 1. A graph will have symmetry around the x-axis if we get an equal equation while all the y's are repl

Zeroes - roots of polynomials, We'll begin this section by defining just wh...

We'll begin this section by defining just what a root or zero of a polynomial is.  We say that x = r is a root or zero of a polynomial, P ( x) , if P ( r )= 0 .  In other terms x=

Q1, I have a 12.2 bottle of mustard. I use 1/20 of mustard per serving per ...

I have a 12.2 bottle of mustard. I use 1/20 of mustard per serving per hot doog. How much mustard do I have left after 4 servings of hot dogs.

Set operations, How to find the valve of A''u B''

How to find the valve of A''u B''

Polynomial inequalities, Now it is time to look at solving some more hard i...

Now it is time to look at solving some more hard inequalities.  In this section we will be solving (single) inequalities which involve polynomials of degree at least two.  Or, to p

Non liner functions, what is a word problem for a nonlinear function?

what is a word problem for a nonlinear function?

Linear equation in two variables, 2x+y/x+3y=-1/7and 7x+36y=47/3 hence find ...

2x+y/x+3y=-1/7and 7x+36y=47/3 hence find p if xy=p=x/y

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