Solve following x - x e 5 x + 2 = 0 logarithms, Mathematics

Assignment Help:

Solve following  x - x  e 5 x + 2  = 0 .

Solution : The primary step is to factor an x out of both terms.

DO NOT DIVIDE AN x FROM BOTH TERMS!!!!

Note as well that it is extremely tempting to "simplify" the equation by dividing an x out of both terms. Though, if you do that you'll miss a solution as we'll see.

x - x  e 5 x + 2  = 0

x (1 - e5 x + 2 ) = 0

 Hence, it's now a little easier to deal along with.  From this we can illustrates that we get one of two possibilities.

x =0     OR

1 - e 5 x + 2  = 0

The first option has nothing more to do, except notice that if we had divided both of the sides by an x we would have missed this one hence be careful.  In the second possibility we've got a little more to do. It is an equation similar to the first two which we did in this section.

e5 x + 2  = 1

5x + 2 = ln 1

5x + 2 = 0

x = - 2/5

Don't forget that ln 1 = 0 !

Hence, the two solutions are x = 0 and x = - 2/5

The next equation is a more complexes (looking at least...) example similar to the previous one. As a last example let's take a look at an equation that contains two different logarithms.


Related Discussions:- Solve following x - x e 5 x + 2 = 0 logarithms

Developing an understanding ones tens and more, DEVELOPING AN UNDERSTANDING...

DEVELOPING AN UNDERSTANDING :  The other day I was showing the children's book '203 Cats' to my 7-year-old niece. She had recently learnt how to write large numerals in her school

The point which divides a gven line - segment externally, The point which d...

The point which divides a gven line - segment externally: Construction : i )Draw BX making an actue angle at B. ii) Starting from B mark three equal points on BX as sh

Area and Perimeters, The top of the new rectangular Big Gig Thingamajig is ...

The top of the new rectangular Big Gig Thingamajig is 80 inches long and 62 inches wide. What is the top''s perimeter?

I need help in math badly, I just have a hard time in math in every other c...

I just have a hard time in math in every other class I have an A or B but in math I have a C+ I at least want a B- or B+ or A- or even an A+

Geometry, a figure is made of a rectangle and an isosceles right triangle. ...

a figure is made of a rectangle and an isosceles right triangle. the rectangle has sides of 6 in. and 3 in. one of the short sides of the rectangle is also one of the legs of the r

Pre calc, - Find the total surface area of a frustum of a cone. (Include to...

- Find the total surface area of a frustum of a cone. (Include top and bottom). The equation that I have for volume is v=1/3 pi x h(r^2+rR+R^2) -the equation that I have found fo

Maths, what is the diameter of a circle

what is the diameter of a circle

Find prime implicants, Let E = xy + y't + x'yz' + xy'zt', find (a)   Pri...

Let E = xy + y't + x'yz' + xy'zt', find (a)   Prime implicants of E,  (b)  Minimal sum for E.  Ans:  K -map for following boolean expression is given as: Prime implic

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