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

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

Posted Date: 4/11/2013 3:19:05 AM | Location : United States







Related Discussions:- Solve following 4e1+3 x - 9e5-2 x = 0 logarithms, Assignment Help, Ask Question on Solve following 4e1+3 x - 9e5-2 x = 0 logarithms, Get Answer, Expert's Help, Solve following 4e1+3 x - 9e5-2 x = 0 logarithms Discussions

Write discussion on Solve following 4e1+3 x - 9e5-2 x = 0 logarithms
Your posts are moderated
Related Questions
If the minute hand of a big clock is 1.05 m long, find the rate at which its tip is moving in cm per minute.


what is the differeance in between determinate and matrix .

If the area of a small size pizza is 78.5 in 2 , what size pizza box would required for the small pizza? (Note: Pizza boxes are calculated according to the length of one side.)

Buses to Acton leave a bus station every 24 minutes. Buses to Barton leave the same bus station every 20 minutes. A bus to Acton and a bus to Barton both leave the bus station at 9

Properties of Dot Product - proof Proof of: If v → • v → = 0 then v → = 0 → This is a pretty simple proof.  Let us start with v → = (v1 , v2 ,.... , vn) a

how do we solve multiple optimal solution

A police academy is training 14 new recruits. Some are working dogs and others are police officers. There are 38 legs in all. How many of each type of recruits are there?

Determine the centralizer and the order of the conjugacy: 1)      Determine the centralizer and the order of the conjugacy class of the matrix [1, 1; 0, 1] in Gl­ 2 (F 3 ).