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

Times fractons, In a garden, 1/8 of the flowers are tulips. 1/4 of the tuli...

In a garden, 1/8 of the flowers are tulips. 1/4 of the tulips are red. What fraction of the flowers in the garden are red tulips?

Mathematical science, state tha different types of models used in operation...

state tha different types of models used in operations research.

Solve cos( 4 ) = -1 trig function, Solve cos( 4 θ ) = -1 . Solution ...

Solve cos( 4 θ ) = -1 . Solution There actually isn't too much to do along with this problem.  However, it is different from all the others done to this point.  All the oth

Maximax method-decision making under uncertainty, MAXIMAX method Maxima...

MAXIMAX method Maximax method is based upon 'extreme optimism' the decision maker chooses that particular strategy which corresponds to the maximum of the maximum pay off for e

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

Inside function and outside function, "Inside function" and "outside functi...

"Inside function" and "outside function : Generally we don't actually do all the composition stuff in using the Chain Rule. That can get little complexes and actually obscures the

Solve following 4e1+3 x - 9e5-2 x = 0 logarithms, Solve following 4e 1+3 x...

Solve following 4e 1+3 x - 9e 5-2 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'

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