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

Optimization, Optimization : In this section we will learn optimization p...

Optimization : In this section we will learn optimization problems.  In optimization problems we will see for the largest value or the smallest value which a function can take.

Sampling distribution p-hat, Caterer verifies that 87% of people who sample...

Caterer verifies that 87% of people who sampled the food thought it was delicious. A random sample of 144 out of population of 5000 taken. The 144 are asked to sample the food. If

Developing pre-number concepts, DEVELOPING PRE-NUMBER CONCEPTS :  Previous...

DEVELOPING PRE-NUMBER CONCEPTS :  Previously you have read how children acquire concepts. You know that, for children to grasp a concept, they must be given several opportunities

Algebra, how do you work out algebra

how do you work out algebra

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