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

Algebra 2, How do I take two points, the rise and run, and produce an algeb...

How do I take two points, the rise and run, and produce an algebraic equation?

Polynomial interest, If you deposited $500 for 4 years at 6% annual interes...

If you deposited $500 for 4 years at 6% annual interest, compounded semi-annually, how much money would you have saved?

Sketch the graph of the common logarithm, Example Sketch the graph of the ...

Example Sketch the graph of the common logarithm & the natural logarithm on the similar axis system. Solution This instance has two points.  Firstly, it will familiarize u

True or false, 2.3+5=2.3+2.5 is an example of distributive property

2.3+5=2.3+2.5 is an example of distributive property

Example of equations with more than one variable, y = 4 - 3x /1 + 8x for x....

y = 4 - 3x /1 + 8x for x. Solution This one is very alike to the previous instance.  Here is the work for this problem. y + 8xy = 4 - 3x 8xy + 3x = 4 - y X(8 y +3)

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

I need help, Do you accept screen shot because it is a graph.

Do you accept screen shot because it is a graph.

Elevation, A v\certain mountain had an elevation of 19,063 ft. In 1911 the ...

A v\certain mountain had an elevation of 19,063 ft. In 1911 the glacier on this peek covered 8 acres. by 2000 this glacier had melted to only 1 acre. what is the yearly rate of ch

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