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

Example of double inequalities, Now, let's solve out some double inequaliti...

Now, let's solve out some double inequalities. The procedure here is alike in some ways to solving single inequalities and still very different in other ways. As there are two ineq

Mixed numbers and improper fractions, how do you make the fraction 17 5ths ...

how do you make the fraction 17 5ths a mixed number?????

Example of earthquake intensity, Example    If 8 ×10 14  joules of energy ...

Example    If 8 ×10 14  joules of energy is released at the time of an earthquake what was the magnitude of the earthquake? Solution There actually isn't much to do here o

Solve out the equations using simpler method, Example   Solve out each of ...

Example   Solve out each of the following equations.                              7 x = 9 Solution Okay, although we say above that if we contained a logarithm in fron

Use the quadratic formula to solve the equation, Example :   Use the quadra...

Example :   Use the quadratic formula to solve following equation.                            x 2 + 2x = 7 Solution Here the important part is to ensure that before we b

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

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