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Mathematics 21 Online
OpenStudy (cocoacat):

Hello! I'm really stuck on this kind of problem: 9^(x+1) + 9 = 82*3^x Find x Thank you!

OpenStudy (epoweritheta):

hey use the logarithms . if you dont get it i will help .

OpenStudy (epoweritheta):

just want to make you think :) ...

OpenStudy (cocoacat):

Huh I don't get what to get the logarithms of ;~;

OpenStudy (cocoacat):

I was thinking about matching up terms?

OpenStudy (epoweritheta):

oh..god sorry

OpenStudy (epoweritheta):

take 9 out ... both sides \[9(9^{x}+1) =(82*3^{x-2})9\]

OpenStudy (epoweritheta):

now try

OpenStudy (epoweritheta):

i am so sorry ..you can solve it elegantly by taking \[y= 3^x\] , you get a quadratic equation solve and tell me what you get . please give me both the roots

OpenStudy (cocoacat):

I don't know what to do with the +1;A;

OpenStudy (epoweritheta):

yeah..do the 2nd method :)

OpenStudy (cocoacat):

Oh I get it 1/9 and 9! Thank you so much!

OpenStudy (epoweritheta):

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