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Penjelasan dengan langkah-langkah:
Nomor 1
[tex] {2}^{2x - 6} = 1[/tex]
[tex] {2}^{2x - 6} = {2}^{0} [/tex]
[tex]2x - 6 = 0[/tex]
[tex]2x = 6[/tex]
[tex]x = \frac{6}{2} [/tex]
[tex]x = 3[/tex]
[tex] \: [/tex]
Nomor 2
[tex] {3}^{4x - 3} = {3}^{9} [/tex]
[tex]4x - 3 = 9[/tex]
[tex]4x = 9 + 3[/tex]
[tex]4x = 12[/tex]
[tex]x = \frac{12}{4} [/tex]
[tex]x = 3[/tex]
[tex] \: [/tex]
Nomor 3
[tex] {2}^{x - 5} = {4}^{ x+ 3} [/tex]
[tex] {2}^{x - 5} = {2}^{2.(x + 3)} [/tex]
[tex] {2}^{x - 5} = {2}^{2x + 6} [/tex]
[tex]x - 5 = 2x + 6[/tex]
[tex]x - 2x = 6 + 5[/tex]
[tex] - x = 11[/tex]
[tex]x = - 11[/tex]
[tex] \: [/tex]
Nomor 4
[tex] {2}^{2x + 4} = {6}^{2x + 4} [/tex]
[tex] {2}^{2x + 4} = (2 \times 3) {}^{2x + 4} [/tex]
[tex] {2}^{2x + 4} = {2}^{2x + 4} \times {3}^{2x + 4} [/tex]
[tex] \frac{ {2}^{2x + 4} }{ {2}^{2x + 4} } = {3}^{2x + 4} [/tex]
[tex]1 = {3}^{2x + 4} [/tex]
[tex] {3}^{2x + 4} = {3}^{0} [/tex]
[tex]2x + 4 = 0[/tex]
[tex]2x = - 4[/tex]
[tex]x = \frac{ - 4}{2} [/tex]
[tex]x = - 2[/tex]
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