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

Percent problems, an actor receives 5000 for a commercial plus 2.5% each ti...

an actor receives 5000 for a commercial plus 2.5% each time the commmercial airs.if the t represents the number of times the commercial airs e represents the total amount of money

Word problems, A mountain has an elevation of 19,389 feet in 1918, the glac...

A mountain has an elevation of 19,389 feet in 1918, the glacier on this peak covered 4 acres. By 2003 this glacier had melted to 1 acre. What was the yearlyrate of change and what

Compound math, Ask question #15/16 to the percentage

Ask question #15/16 to the percentage

Test prep, 1). Using the function: y=y0,(.90)^t-1. In this equation y0 is t...

1). Using the function: y=y0,(.90)^t-1. In this equation y0 is the amount of initial dose and y is the amount of medication still available t hours after drug is administered. Supp

Sketch the graph of function, Sketch the graph of function. f ( x ) =3x ...

Sketch the graph of function. f ( x ) =3x + 6 /x -1 Solution Thus, we'll start off with the intercepts. The y-intercept is,       f (0) =6/-1=-6⇒     (0, -6)

Quadratic Equations, I am finishing a quadratic equation problem and I am ...

I am finishing a quadratic equation problem and I am left with 3 plus or minus the square root of 361 all over 2. what next?

Quadratic equation, solve 4x2+12x =0by using quadratic formula

solve 4x2+12x =0by using quadratic formula

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