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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
 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

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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
 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
 4 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
 4 months ago
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