Solve for x the equation 5(8e^2x - 3)^3 = 625?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

We have to solve: 5(8e^2x - 3)^3 = 625 for x.

5(8e^2x - 3)^3 = 625

divide both sides by 5

=> (8e^2x - 3)^3 = 125

take the cube root of both the sides

=> 8e^2x - 3 = 5

add 3 to both the sides

=> 8e^2x = 8

divide both sides by 8

=> e^2x = 1

Any number to the power 0 is 1

=> e^2x = e^0

=> 2x = 0

=> x = 0

The solution of the equation is x = 0.

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial Team