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July 2022
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[tex] 16^{x} - 4^{x} -6=0[/tex] Помогите решить плееес!
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sangers1959
Verified answer
16^x-4^x-6=0
4^(2x)-4^x-6=0
4^x=v>0
v²-v-6=0 D=25 √D=5
v₁=3 v₂=-2 v₂∉
4^x=3
log₄4^x=log₄3
x*log₄4=log₄3
x=log₄3.
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Answers & Comments
Verified answer
16^x-4^x-6=04^(2x)-4^x-6=0
4^x=v>0
v²-v-6=0 D=25 √D=5
v₁=3 v₂=-2 v₂∉
4^x=3
log₄4^x=log₄3
x*log₄4=log₄3
x=log₄3.