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

Integerts, how do u add and subtract integers

how do u add and subtract integers

Diabetes/Calcuation, #sally wieghs 100kg. According to the 50/50 basal bolu...

#sally wieghs 100kg. According to the 50/50 basal bolus rate be per meal bolus?

Pair of linear equations in two variables, PAIR OF LINEAR EQUATIONS IN TWO ...

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES: Like  the  crest  of a  peacock so  is  mathematics  at the  head of all knowledge. Example At a certain time in a deer park, t

Calculate the area and circumference of a circle, Calculate the area and ci...

Calculate the area and circumference of a circle: Calculate the area and circumference of a circle with a 3" radius.  Solution: A =      πr2

How far is that person from the starting point, A person travels 10 miles d...

A person travels 10 miles due north, 6 miles due west, 4 miles due north, and 12 miles due east. How far is that person from the initail state? a. 23 miles northeast b. 13 mi

Progressions, We will look at three types of progressions called Ar...

We will look at three types of progressions called Arithmetic, Geometric and Harmonic Progression. Before we start looking at the intricacies of these let us unders

Factor expressions involving large powers, Factor Expressions Involving Lar...

Factor Expressions Involving Large Powers, Radicals, and Trig Functions You can use substitution to factor expressions involving large powers, radicals, and trig functions

If the area of the parallelogram is 36 m2 what is the height, The height of...

The height of a parallelogram measures 5 meters more than its base. If the area of the parallelogram is 36 m 2 , what is the height in meters? Let x = the measure of the base a

Explain the rules of divisibility, Explain the rules of Divisibility ? ...

Explain the rules of Divisibility ? Divisible by 2: If the last digit is a 0, 2, 4, 6, or 8, the number is evenly divisible by 2. Divisible by 2 Not

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