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bell69
@bell69
August 2022
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11 класс
С подробным решением
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sangers1959
Verified answer
(2^x+10)/4=9/2^(x-2) I×4
2^x+10=36/(2^x/2^2)
2^x+10=36*4/2^x I×2^x
2^(2x)+10*2^x-144=0
2^x=t>0
t²+10t-144=0 D=676
t₁=8 t₂=-18 t₂∉
2^x=8
2^x=2^3
x=3.
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Answers & Comments
Verified answer
(2^x+10)/4=9/2^(x-2) I×42^x+10=36/(2^x/2^2)
2^x+10=36*4/2^x I×2^x
2^(2x)+10*2^x-144=0
2^x=t>0
t²+10t-144=0 D=676
t₁=8 t₂=-18 t₂∉
2^x=8
2^x=2^3
x=3.