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

How many relations are possible from a set, How many relations are possible...

How many relations are possible from a set A of 'm' elements to another set B of 'n' elements?     Ans: A relation R from a set A to other set B is specified as any subset of A

Parallelograns, Find x and y in each paarallelogram.

Find x and y in each paarallelogram.

Order to solve mathematical operations, Order to solve Mathematical Operati...

Order to solve Mathematical Operations: Example: Solve the following equation: (4 - 2) + (3 x 4) - (10 ÷ 5) - 6 =  ____________ Solution: a.         Perform ma

Marginal probability, Marginal Probability Probability of event A happe...

Marginal Probability Probability of event A happening, denoted by P(A), is called single probability, marginal or unconditional probability. Marginal or Uncondi

Calculus, I need help with my calculus work

I need help with my calculus work

Statistics, find the number of ways 17 employees can b chosen from 327

find the number of ways 17 employees can b chosen from 327

Trig, without using a calculator how would you know is cos theta(20) is gre...

without using a calculator how would you know is cos theta(20) is greater than cos theta (35)

Linear programming problem., Ask question #Minimum 100 words acca paper mil...

Ask question #Minimum 100 words acca paper mill produces two grades of paper viz.,xand y.Bacause of raw material restrictions, it cannot produce more than 400 tones of grade x pape

Division, 1000000 divided by 19

1000000 divided by 19

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