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alinayakimova7
@alinayakimova7
July 2022
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3^Log81(2x+5)=4 подробно пожалуйста
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antoniolio
Verified answer
3^log₈₁(2x+5)=4
3^lo
g₃⁴
(2x+5)=4
3^1/4log₃(2x+5)=4
3 ^log₃(2x+5)¹/⁴=4
(2x+5)¹/⁴=4
2x+5=4⁴
2x+5=256
2x=256-5
2x=251
x=125,5
П
роверим:3^log₈₁
(2*125,5+5)=4, 3^lo
g₈₁(251+5)=4,3^log₈₁256=4, 3^log₃⁴256=4, 3^log
₃(256)¹/⁴
=4,
(256)¹/⁴
=4, ⁴√256=4, 4=4
Ответ: х=125,5
25 votes
Thanks 53
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Answers & Comments
Verified answer
3^log₈₁(2x+5)=43^log₃⁴(2x+5)=4
3^1/4log₃(2x+5)=4
3 ^log₃(2x+5)¹/⁴=4
(2x+5)¹/⁴=4
2x+5=4⁴
2x+5=256
2x=256-5
2x=251
x=125,5
Проверим:3^log₈₁(2*125,5+5)=4, 3^log₈₁(251+5)=4,3^log₈₁256=4, 3^log₃⁴256=4, 3^log₃(256)¹/⁴=4, (256)¹/⁴=4, ⁴√256=4, 4=4
Ответ: х=125,5