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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
 one year ago
 one year 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
 one year ago
 one year ago

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

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

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

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

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

jasonxx Group TitleBest ResponseYou've already chosen the best response.1
2x=7 x=7/2
 one year ago

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

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

sammysweets Group TitleBest ResponseYou've already chosen the best response.0
ohhh okay thank you so much.
 one year 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
 9 days 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
 8 days ago
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