82.5k views
0 votes
Solve the exponential equation. Express irrational solutions as decimals correct to the nearest thousandth.5x -5.e-2x = 2eSelect the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution set is(Round to the nearest thousandth as needed. Use a comma to separate answers as needed.)OB. The solution is the empty set.

User Stephan
by
8.3k points

1 Answer

2 votes

We are asked to solve the exponential equation given below:

e^5x - 5 * e^-2x = 2e

First let's apply the exponent rules:

5x - 5 - 2x = In(2e)

Solving 5x - 5 - 2x = In(2e)

3x - 5 = In(2e)

Add 5 to both sides:

3x = In(2e) + 5

Divide both sides by 3

x = In(2e) + 5

3

x = 2.23104

x = 2.231 (To the nearest thousand)

Therefore, the correct option is A, which is The solution set is 2.231 (Round to the nearest thousand).

User Klutt
by
7.7k points

No related questions found