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1. Could Sumone plz help me with this question.. only started C2 revision 2day n i've forgotten the majority of the whole syllabus.. lol

Find the possible values of x for which 2^2x + 1 = 3(2^x) - 1

Tut :-)
2. (Original post by Tut)
Could Sumone plz help me with this question.. only started C2 revision 2day n i've forgotten the majority of the whole syllabus.. lol

Find the possible values of x for which 2^2x + 1 = 3(2^x) - 1

Tut :-)
2^2x-3(2^x)+2=0
[2^x]^2-3(2^x)+2=0
u^2-3u+2=0, where u=2^x
(u-1)(u-2)=0
u=1 or u=2
2^x=1 or 2^x=2
xln2=ln1 or xln2=ln2
x=0 or x=1.

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