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marenkovartyom
@marenkovartyom
July 2022
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Решите, пожалуйста, что сможете
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sangers1959
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16ˣ⁺⁰,²⁵-41*4ˣ⁻¹+9=0
16⁰,²⁵*16ˣ-(41/4)*4ˣ+9=0
2*4²ˣ-(41/4)*4ˣ+9=0 |×4
8*4²ˣ-41*4ˣ+36=0
4ˣ=t>0
8t²-41t+36=0 D=529
t₁=4 4ˣ=4 x=1
t₂=1,125 4ˣ=1,125 log₄4ˣ=log₄1,125 x=log₄1,125≈0,085.
Ответ: x=log₄1,125.
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Answers & Comments
Verified answer
16ˣ⁺⁰,²⁵-41*4ˣ⁻¹+9=016⁰,²⁵*16ˣ-(41/4)*4ˣ+9=0
2*4²ˣ-(41/4)*4ˣ+9=0 |×4
8*4²ˣ-41*4ˣ+36=0
4ˣ=t>0
8t²-41t+36=0 D=529
t₁=4 4ˣ=4 x=1
t₂=1,125 4ˣ=1,125 log₄4ˣ=log₄1,125 x=log₄1,125≈0,085.
Ответ: x=log₄1,125.