[tex] \frac{1}{ \sqrt[4]{ {27}^{2 - x} } } = 3[/tex]
[tex] \frac{1}{ \sqrt[4]{ {3}^{3(2 - x)} } } = 3[/tex]
[tex] \frac{1}{ \sqrt[4]{ {3}^{6 - 3x} } } = 3[/tex]
[tex] \frac{1}{ {3}^{ \frac{1}{4}(6 - 3x) } } = 3[/tex]
[tex] {3}^{ - \frac{1}{4} (6 - 3x)} = 3[/tex]
[tex] - \frac{1}{4} (6 - 3x) = 1[/tex]
[tex]-\frac{6-3x}{4}=1[/tex]
[tex]-\frac{-3x+6}{4}=1[/tex]
[tex]\frac{-(-3x+6)}{4}=1[/tex]
[tex]\frac{3x-6}{4}=1[/tex]
[tex]3x - 6 = 4[/tex]
[tex]3x - 6 + 6 = 4 + 6[/tex]
[tex]3x = 10[/tex]
[tex] \frac{3x}{3} = \frac{10}{3} [/tex]
[tex]x = \frac{10}{3} [/tex]
[tex]x = 3 \frac{1}{3} [/tex]
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[tex] \frac{1}{ \sqrt[4]{ {27}^{2 - x} } } = 3[/tex]
[tex] \frac{1}{ \sqrt[4]{ {3}^{3(2 - x)} } } = 3[/tex]
[tex] \frac{1}{ \sqrt[4]{ {3}^{6 - 3x} } } = 3[/tex]
[tex] \frac{1}{ {3}^{ \frac{1}{4}(6 - 3x) } } = 3[/tex]
[tex] {3}^{ - \frac{1}{4} (6 - 3x)} = 3[/tex]
[tex] - \frac{1}{4} (6 - 3x) = 1[/tex]
[tex]-\frac{6-3x}{4}=1[/tex]
[tex]-\frac{-3x+6}{4}=1[/tex]
[tex]\frac{-(-3x+6)}{4}=1[/tex]
[tex]\frac{3x-6}{4}=1[/tex]
[tex]3x - 6 = 4[/tex]
[tex]3x - 6 + 6 = 4 + 6[/tex]
[tex]3x = 10[/tex]
[tex] \frac{3x}{3} = \frac{10}{3} [/tex]
[tex]x = \frac{10}{3} [/tex]
[tex]x = 3 \frac{1}{3} [/tex]