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

I need help, on my math home work it says draw a numberline and put the fol...

on my math home work it says draw a numberline and put the following numbers on order -2.5 2.5 4\3 10percent -100percent -6\3 02 [-4] o -4\5

Graphing, when I have the equation of 6x-9y=18 and I have to graph the answ...

when I have the equation of 6x-9y=18 and I have to graph the answers I am not sure how to come up with the answers, please help

Inverse functions, In previous section we looked at the two functions  f ( ...

In previous section we looked at the two functions  f ( x) = 3x - 2 and g ( x )= x/3 + 2/3 and saw that                                          ( f o g ) ( x ) =(g o f )( x ) =

Evaluate log function, Example    Evaluate log 5 7 . Solution At f...

Example    Evaluate log 5 7 . Solution At first, notice that we can't employ the similar method to do this evaluation which we did in the first set of instance. It would n

Work- rate problems, Actually these problems are variants of the Distance/R...

Actually these problems are variants of the Distance/Rate problems which we just got done working.  The standard equation which will be required for these problems is, As y

Vectors, Any vector space V satisÖes the ten axioms, among which the last o...

Any vector space V satisÖes the ten axioms, among which the last one is: "for any vector * u 2 V; 1 * u = * u; where 1 is the multiplicative identity of real numbers R:" Discuss th

Homework, 9x^4-x^2=0 step by step

9x^4-x^2=0 step by step

Equation, How to find the term in algebraic equation like 9x=18 only harder...

How to find the term in algebraic equation like 9x=18 only harder

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