Задача 67677 36^(x-4)=(1/6)^(4x-1)...

63a00b63bb80a05cea46e3a4

19.12.2022 09:59:11

36^(x-4)=(1/6)^(4x-1)

5f3ea7e3faf909182968ddd9

19.12.2022 11:53:19

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36=6^2

36^(x-4)=(6^(2))^(x-4)=6^(2*(x-4))=6^(2x-8)


1/6=6^(-1)

(1/6)^(4x–1)=(6^(-1))^(4x-1)=6^(-4x+1)


6^(2x-8)=6^(-4x+1)

2x-8=-4x+1

2x+4x=1+8

6x=9

x=9/6

[b]x=3/2[/b]