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slepota
@slepota
July 2022
1
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СРОЧНО!
3^2x-1 + 3^2x-2 - 3^2x-4=315
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m11m
3^(2x-1) +3^(2x-2)-3^(2x-4)=315
3^2x
+
3^2x
-
3^2x
=315
3 3² 3⁴
1
(3^2x+
3^2x
-
3^2x
) = 315
3 3 3³
3^2x+
3^2x
-
3^2x
=315*3
3 27
3^2x(1+
1
-
1)
=315*3
3 27
3^2x(
27+9-1
)=315*3
27
3^2x=315*3 :
35
27
3^2x=
315*3*27
35
3^2x=9*3*27
3^2x=3²*3*3³
3^2x=3²⁺¹⁺³
3^2x=3⁶
2x=6
x=3
Ответ: 3.
7 votes
Thanks 12
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Answers & Comments
3^2x +3^2x - 3^2x =315
3 3² 3⁴
1 (3^2x+3^2x-3^2x) = 315
3 3 3³
3^2x+3^2x - 3^2x=315*3
3 27
3^2x(1+ 1 - 1)=315*3
3 27
3^2x(27+9-1)=315*3
27
3^2x=315*3 : 35
27
3^2x=315*3*27
35
3^2x=9*3*27
3^2x=3²*3*3³
3^2x=3²⁺¹⁺³
3^2x=3⁶
2x=6
x=3
Ответ: 3.