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

If there are 75 students in the play how many are boys, 64% of the students...

64% of the students within the school play are boys. If there are 75 students in the play, how many are boys? To ?nd out 64% of 75, multiply 75 by the decimal equivalent of 64%

Determine the total area of the land, John is planning to buy an irregularl...

John is planning to buy an irregularly shaped plot of land. Referring to the diagram, determine the total area of the land. a. 6,400 m 2 b. 5,200 m 2 c. 4,500 m 2 d.

Statistics and probability, STATISTICS AND PROBABILITY : Statistics  ar...

STATISTICS AND PROBABILITY : Statistics  are the  only  tools  by  which  an  opening  can  be  cut  through  the formidable  thicket  of difficulties  that bars the  path  of

Oscar sold 2 glasses of milk for each 5 sodas he sold, Oscar sold 2 glasses...

Oscar sold 2 glasses of milk for each 5 sodas he sold. If he sold 10 glasses of milk, how many sodas did he sell? Set up a proportion along with milk/soda = 2/5 = 10x. Cross mu

Mrs. farrell''s class has 26 students how many were absent, Mrs. Farrell's ...

Mrs. Farrell's class has 26 students. Just 21 were present on Monday. How many were absent? Subtract the number of students present from the total number within the class to de

Examining a related problem, how to explain this strategy? how to do this s...

how to explain this strategy? how to do this strategy in solving a problem? can you give some example on how to solve this kind of strategy.

Rate of change interpretation of derivative, Rate of Change : The first in...

Rate of Change : The first interpretation of derivative is rate of change.  It was not the primary problem which we looked at in the limit chapter, however it is the most signific

Mathematical statements are unambiguous- nature of math, Mathematical State...

Mathematical Statements Are Unambiguous :  Consider any mathematical concept that you're familiar with, say, a sphere. The definition of a sphere is clear and precise. Given any o

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