Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing

This Question is Closed

amishra Group TitleBest ResponseYou've already chosen the best response.0
\[3^{x}  2 = 8/3^{x}\]
 2 years ago

L.T. Group TitleBest ResponseYou've already chosen the best response.2
multiply both sides by 3 to the x to eliminate the denominator and subtract eight from both sides\[3^{2x}2*3^{x}8=0\]
 2 years ago

L.T. Group TitleBest ResponseYou've already chosen the best response.2
Do you follow so far?
 2 years ago

amishra Group TitleBest ResponseYou've already chosen the best response.0
Yes, I got \[3^{x} = 4 , 3^{x} = 2\]
 2 years ago

L.T. Group TitleBest ResponseYou've already chosen the best response.2
Now treat it as a quadratic equation set equal to zero and use the quadratic formula to solve for 3 to the x, because 3 to the x was squared, just like a variable, and we have second and third terms as well.\[\frac{ 2 +\sqrt{44*(8)} }{ 2 }\] You can ignore the possibility where you subtract the square root, since that would give a negative answer, which 3 to the x can't equal. Solve and you get \[\frac{ 8 }{ 2 }=4=3^{x}\]Now you should take the natural logarithm of both sides and solve.\[\ln 4=\ln 3^{x}\]Pull the exponent down and divide both sides by the natural log of 3\[\ln 4=x \ln 3\]\[\frac{ \ln4 }{ \ln3 }=x\] That should be your answer
 2 years ago

amishra Group TitleBest ResponseYou've already chosen the best response.0
Thank you soo much!! That was very helpful! :D
 2 years ago
See more questions >>>
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.