Penjelasan dengan langkah-langkah:
[tex] {4}^{x} - {4}^{x - 1} = 6 \\ {2}^{2x} - {2}^{2x - 2} = 6 \\ {2}^{2x} - \frac{ {2}^{2x} }{4} = 6 \\ \frac{3}{4} {2}^{2x} = 6 \\ {2}^{2x} = 6. \frac{4}{3} \\ {2}^{2x} = 8 = {2}^{3} \\ 2x = 3 \\ x = \frac{3}{2} \\ \\ {2x}^{x} = {3}^{ \frac{3}{2} } = \sqrt{ {3}^{2} .3} = 3 \sqrt{3} [/tex]
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Penjelasan dengan langkah-langkah:
[tex] {4}^{x} - {4}^{x - 1} = 6 \\ {2}^{2x} - {2}^{2x - 2} = 6 \\ {2}^{2x} - \frac{ {2}^{2x} }{4} = 6 \\ \frac{3}{4} {2}^{2x} = 6 \\ {2}^{2x} = 6. \frac{4}{3} \\ {2}^{2x} = 8 = {2}^{3} \\ 2x = 3 \\ x = \frac{3}{2} \\ \\ {2x}^{x} = {3}^{ \frac{3}{2} } = \sqrt{ {3}^{2} .3} = 3 \sqrt{3} [/tex]