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

Factors, Question Suppose that f(x) has (x - 2) 2 and (x + 1) as its on...

Question Suppose that f(x) has (x - 2) 2 and (x + 1) as its only factors. Sketch the graph of f. State all the zeros of f.

My homework, Paulina played 3 soccer games on Saturday she drank I juice bo...

Paulina played 3 soccer games on Saturday she drank I juice box during each soccer game how many juice boxes did she drank

Pair of straight line, a pair of straight lines are drawn through the origi...

a pair of straight lines are drawn through the origin forms with the line 2x+3y=6 an isoceles triangle right angled at origin find the equation of pair of straight line?

Mrs, Distributive Property _x7=(3x7)+(2x_)

Distributive Property _x7=(3x7)+(2x_)

Real numbers, how to present root numbers on a number line

how to present root numbers on a number line

Types of sets, NULL/ VOID/ EMPTY SET A set which has no element is know...

NULL/ VOID/ EMPTY SET A set which has no element is known as the null set or empty set and is indicated by f (phi). The number of elements of a set A is indicated as n (A) and

Sum, i want to trick to know how can i fastest calculate more than compute...

i want to trick to know how can i fastest calculate more than computer

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