Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
sammysweets
Group Title
What is the solution to the equation 9^(x  2) = 27 ?
x = 2.5
x = 0.5
x = 0.5
x = 3.5
 2 years ago
 2 years ago
sammysweets Group Title
What is the solution to the equation 9^(x  2) = 27 ? x = 2.5 x = 0.5 x = 0.5 x = 3.5
 2 years ago
 2 years ago

This Question is Closed

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
Hint: rewrite 9 as 3^2 and 27 as 3^3
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
Then you can say 9^(x  2) = 27 (3^2)^(x  2) = 3^3 3^(2(x2)) = 3^3
 2 years ago

sammysweets Group TitleBest ResponseYou've already chosen the best response.0
would the answer be... x=2.5?
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
Check: 9^(x  2) = 27 9^(2.5  2) = 27 ... plug in the *possible* solution x = 2.5 9^(0.5) = 27 3 = 27 The last equation is false, so x = 2.5 is NOT the answer
 2 years ago

sammysweets Group TitleBest ResponseYou've already chosen the best response.0
ahh i'm still confused.
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
the bases are the same in 3^(2(x2)) = 3^3 so the exponents are the same: 2(x2) = 3
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
what do you get when you solve 2(x2) = 3
 2 years ago

sammysweets Group TitleBest ResponseYou've already chosen the best response.0
0...? i'm sorry. i'm really bad at math.
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
that's ok, you'll get better with practice distribute to get 2(x2) = 3 2x4 = 3 what's next?
 2 years ago

sammysweets Group TitleBest ResponseYou've already chosen the best response.0
am i just plugging in the answer choices for x?
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
you can if you want to check (that's what I would do)
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
btw, x = 7/2 is the same as x = 3.5
 2 years ago

sammysweets Group TitleBest ResponseYou've already chosen the best response.0
ohhh okay thank you so much.
 2 years ago

samantha.m. Group TitleBest ResponseYou've already chosen the best response.0
im so comfused I worked it out like this 9^(x2)=27 3^2(x2)=3^9 3^2x4=3^9 2x4=9 2x=13 13\2 x=6.5 but its not a choice. I have pluged in all of them and nothing im so condused. if anyone finds an answer please let me know
 3 months ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
27 is NOT equal to 3^9 you're thinking of 3 times 9 = 27  It should be 27 = 3^3
 3 months 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.