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log7 (x+3)=log7 (2×-6)

Răspuns :

[tex] log_{7}(x + 3) = log_{7}(2x - 6) [/tex]

[tex]x + 3 = 2x - 6[/tex]

[tex]x - 2x = - 6 - 3[/tex]

[tex] - x = - 9 \: | \times ( - 1)[/tex]

[tex]x = 9[/tex]
[tex]\log _7\left(x+3\right)=\log _7\left(2x-6\right) \\ x+3=2x-6 \\ x+3-3=2x-6-3 \\ x=2x-9 \\ x-2x=2x-9-2x \\ -x=-9 \\ \frac{-x}{-1}=\frac{-9}{-1} \\ \\ x=9 \\ \\ [/tex]