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Mathematics 15 Online
OpenStudy (anonymous):

2^(2x+3)=2^(x+1)+3

OpenStudy (anonymous):

\[2^{2x+3}=2^{x+1}+3\]

OpenStudy (anonymous):

you there?

OpenStudy (anonymous):

yeah, can you help me?

OpenStudy (anonymous):

ok, this is actually a quadratic equation

OpenStudy (anonymous):

the first term can be rewritten as 2(2^(x+1))^2

OpenStudy (anonymous):

when you are done solving the quadratic you will get an extraneous solution of -1/2

OpenStudy (anonymous):

but you will be able to solve it for u = 3/2

OpenStudy (anonymous):

could you help me with that first step

OpenStudy (anonymous):

2^(2x+3) = 2* (2^(2x+2))

OpenStudy (anonymous):

I just took out one of the 2s

OpenStudy (anonymous):

then you can factor out the 2 in the power to make it look like a 2^((2*(x+1))

OpenStudy (anonymous):

I see! I got it now. Thank you very much.

OpenStudy (anonymous):

you are welcome

OpenStudy (anonymous):

could you tell me the final answer?

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