A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
\(\huge 3^x  2^{y+2}=49 \)
\(\huge 2^y  3^{x2}+1=0 \)
solve the system of equations.
 2 years ago
\(\huge 3^x  2^{y+2}=49 \) \(\huge 2^y  3^{x2}+1=0 \) solve the system of equations.

This Question is Closed

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.0i tried using logs but i got to a dead end... :/

asnaseer
 2 years ago
Best ResponseYou've already chosen the best response.4try using a subtle substitution

asnaseer
 2 years ago
Best ResponseYou've already chosen the best response.4remember that \(2^{y+2}=2^2\times2^y=4\times2^y\)

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.0This is why I love this site, I never would have known what to do there...

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.0i know right, i'm helping a friend out but i'm stuck myself so thanks to you guys ;)

asnaseer
 2 years ago
Best ResponseYou've already chosen the best response.4I agree  I have learnt SO MUCH from this site  it is truly amazing.

JakeV8
 2 years ago
Best ResponseYou've already chosen the best response.0where's the button for "round of applause"?

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.0thanks guys, we did it! xD \(\large x \approx 4.069 \) and \(\large y \approx 3.263\) can someone confirm this please... :)

asnaseer
 2 years ago
Best ResponseYou've already chosen the best response.4hmmm  I actually get integer solutions

asnaseer
 2 years ago
Best ResponseYou've already chosen the best response.4Using the substitutions I listed above, I get:\[a4b=49\tag{1}\]\[b\frac{a}{9}+1=0\tag{2}\]Multiplying (2) by 9 and moving the constant to the righthandside, we get:\[9ba=9\tag{3}\]Adding (1) and (3) gives:\[5b=40\implies b=8\]Substituting this into (1) gives:\[a=81\]Therefore:\[2^y=8\implies y=3\]\[3^x=81\implies x=4\]
Ask your own question
Ask a QuestionFind 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.