[tex] {2}^{3x - 2} = 16[/tex]
[tex] {2}^{3x - 2} = {2}^{4} [/tex]
[tex]3x - 2 = 4[/tex]
[tex]3x - 2 + 2 = 4 + 2[/tex]
[tex]3x = 6[/tex]
[tex] \frac{3x}{3} = \frac{6}{3} [/tex]
[tex]x = 2[/tex]
[tex] {2}^{4 - x} = \frac{1}{16} [/tex]
[tex] {2}^{4 - x} = \frac{1}{ {2}^{4} } [/tex]
[tex] {2}^{4 - x} = {2}^{ - 4} [/tex]
[tex]4 - x = - 4[/tex]
[tex] - x + 4 = - 4[/tex]
[tex] - x + 4 - 4 = - 4 - 4[/tex]
[tex] - x = - 8[/tex]
[tex] \frac{ - x}{ - 1} = \frac{ - 8}{ - 1} [/tex]
[tex]x = 8[/tex]
[tex] {32}^{1 - x} = {( \frac{1}{64} })^{2 - x} [/tex]
[tex] {2}^{5(1 - x)} = {( \frac{1}{ {2}^{6} } })^{2 - x} [/tex]
[tex] {2}^{5(1 - x)} = {2}^{ - 6(2 - x)} [/tex]
[tex] {2}^{5 - 5x} = {2}^{ - 12 + 6x} [/tex]
[tex]5 - 5x = - 12 + 6x[/tex]
[tex] - 5x + 5 = - 12 + 6x[/tex]
[tex] - 5x + 5 = 6x - 12[/tex]
[tex] - 5x + 5 - 5 = 6x - 12 - 5[/tex]
[tex] - 5x = 6x - 17[/tex]
[tex] - 5x - 6x = 6x - 17 - 6x[/tex]
[tex] - 11x = - 17[/tex]
[tex] \frac{ - 11x}{ - 11} = \frac{ - 17}{ - 11} [/tex]
[tex]x = \frac{17}{11} [/tex]
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3
[tex] {2}^{3x - 2} = 16[/tex]
[tex] {2}^{3x - 2} = {2}^{4} [/tex]
[tex]3x - 2 = 4[/tex]
[tex]3x - 2 + 2 = 4 + 2[/tex]
[tex]3x = 6[/tex]
[tex] \frac{3x}{3} = \frac{6}{3} [/tex]
[tex]x = 2[/tex]
4
[tex] {2}^{4 - x} = \frac{1}{16} [/tex]
[tex] {2}^{4 - x} = \frac{1}{ {2}^{4} } [/tex]
[tex] {2}^{4 - x} = {2}^{ - 4} [/tex]
[tex]4 - x = - 4[/tex]
[tex] - x + 4 = - 4[/tex]
[tex] - x + 4 - 4 = - 4 - 4[/tex]
[tex] - x = - 8[/tex]
[tex] \frac{ - x}{ - 1} = \frac{ - 8}{ - 1} [/tex]
[tex]x = 8[/tex]
5
[tex] {32}^{1 - x} = {( \frac{1}{64} })^{2 - x} [/tex]
[tex] {2}^{5(1 - x)} = {( \frac{1}{ {2}^{6} } })^{2 - x} [/tex]
[tex] {2}^{5(1 - x)} = {2}^{ - 6(2 - x)} [/tex]
[tex] {2}^{5 - 5x} = {2}^{ - 12 + 6x} [/tex]
[tex]5 - 5x = - 12 + 6x[/tex]
[tex] - 5x + 5 = - 12 + 6x[/tex]
[tex] - 5x + 5 = 6x - 12[/tex]
[tex] - 5x + 5 - 5 = 6x - 12 - 5[/tex]
[tex] - 5x = 6x - 17[/tex]
[tex] - 5x - 6x = 6x - 17 - 6x[/tex]
[tex] - 11x = - 17[/tex]
[tex] \frac{ - 11x}{ - 11} = \frac{ - 17}{ - 11} [/tex]
[tex]x = \frac{17}{11} [/tex]