A community for students.
Here's the question you clicked on:
 0 viewing
eon.burkett
 3 years ago
solve 3^(2x+3)=3^(x^2)
eon.burkett
 3 years ago
solve 3^(2x+3)=3^(x^2)

This Question is Closed

bahrom7893
 3 years ago
Best ResponseYou've already chosen the best response.0same base, just set the powers equal to each other and solve: 2x+3=x^2 solve for x

eon.burkett
 3 years ago
Best ResponseYou've already chosen the best response.0I am having trouble remembering how to do that. I know that it should be two numbers, but can't remember how to get the answer.

kumar2006
 3 years ago
Best ResponseYou've already chosen the best response.1You just need to set the powers up and solve it step by step.

eon.burkett
 3 years ago
Best ResponseYou've already chosen the best response.0\[\sqrt{ x ^{2}}=\sqrt{2x+3}\]

eon.burkett
 3 years ago
Best ResponseYou've already chosen the best response.0so \[x=\sqrt{2x+3}\]

eon.burkett
 3 years ago
Best ResponseYou've already chosen the best response.0what's the next step?

phi
 3 years ago
Best ResponseYou've already chosen the best response.1Starting with 2x+3=x^2 rearrange: subtract 2x+3 from both sides 0= x^22x3 or x^22x3 = 0 This is a quadratic equation. You can solve it by factoring, or using the quadratic formula (Sometimes factoring is easy, especially if you are in practice. But the quadratic formula always works) In this case, where the coefficient of x^2 is 1, focus on the constant term 3 the minus sign means the two factors will have opposite signs. the factors of 3 are 1,3 (nice and simple) now look at the coefficient on the x term: 2x we need two factors that add to get 2 from our list of 1,3 we don't have much of a choice: 3 and +1 = 2 (the other possibility 1+3 = +2 does not match) so the factorization is (x3)(x+1)=0 (multiply out to check that it is correct) this means either (x3)= 0 or (x+1)=0 solve each: x3= 0, x=3 x+1=0 , x= 1

phi
 3 years ago
Best ResponseYou've already chosen the best response.1Here's a video on using the quadratic formula http://www.khanacademy.org/math/algebra/quadtratics/v/quadraticformula1 It is easier to watch than read a boring description.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.