Solve following 4e1+3 x - 9e5-2 x = 0 logarithms, Mathematics

Assignment Help:

Solve following 4e1+3 x - 9e5-2 x  = 0 .

Solution

Here the first step is to get one exponential on every side & then we'll divide both sides by one of them (that doesn't matter for the most part) therefore we'll have a quotient of two exponentials. Then the quotient can be simplified & finally we'll get both coefficients on the other side.

Doing all of this gives,

4e1+3 x  = 9e5-2 x

e1+3 x / e5-2 x      = 9/4

e1+3 x-(5-2 x) =  9/4

e5 x-4  =  9/4

Note as well that while we said that it doesn't actually matter which exponential we divide out by doing it the way we did now we'll ignore a negative coefficient on the x.  Not major issue, however those minus signs on coefficients are actually easy to lose on occasion.

Now this is in a form that we can deal with so here's the rest of the solution.

e5 x-4  =  9/4

5x - 4 = ln ( 9/4 )

5x = 4 + ln ( 9/4 )

x =  1/5 (4 ( ln ( 9/4 )) = 0.9621860432

This equation contain single solution of x = 0.9622 .

 Now let's see some equations which involve logarithms. The main property that we'll be using to solve these kinds of equations is,

blogbx = x


Related Discussions:- Solve following 4e1+3 x - 9e5-2 x = 0 logarithms

Find the value of x of eagle , A fox and an eagle lived at the top of a cli...

A fox and an eagle lived at the top of a cliff of height 6m, whose base was at a distance of 10m from a point A on the ground. The fox descends the cliff and went straight to the p

Non zero sum games- game theory, Non Zero Sum Games Recently there was ...

Non Zero Sum Games Recently there was no satisfactory theory either to describe how people should play non-zero games or to explain how they actually play that game Nigel Ho

Determine randomly generated bit string, Assume E is the event that a rando...

Assume E is the event that a randomly generated bit string of length 4 starts with a 1 and F is the event that this bit string consists of an even number of 1's. Are E and F indepe

Factoring, how are polynomials be factored/?

how are polynomials be factored/?

Linear programming problem, I have a linear programming problem that we are...

I have a linear programming problem that we are to work out in QM for Windows and I can''t figure out how to lay it out. Are you able to help me if I send you the problem?

Perimeter, what is the perimeter of a rhombus

what is the perimeter of a rhombus

Probability, A man enter a lucky draw that requires him to pick five differ...

A man enter a lucky draw that requires him to pick five different integers from 1 through 30 inclusive .he chooses his five number in such a way that the sum of their log base 10 i

Explain how we converting fractions to percents, Explain how we Converting ...

Explain how we Converting Fractions to Percents ? To convert a fraction to a percent: 1. Convert the fraction to a decimal using long division. 2. Move the decimal point two p

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