Matematika Quiz HOTS ================================= Materi : Eksponen Diketahui persamaan [tex]2x^2 . 4^{-2x} = \frac{1}{8}[/tex] . Jika x1 < x 2 , maka x1 - x2 latex rusak = cek web

dorotheawillulv – June 07, 2023

Quiz HOTS
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Materi : Eksponen

Diketahui persamaan [tex]2x^2 . 4^{-2x} = \frac{1}{8}[/tex] . Jika x1 < x 2 , maka x1 - x2

latex rusak = cek web

Penjelasan :

[tex] {2}^{x {}^{2} } . \: {4}^{ - 2x} = \frac{1}{8} \\ {2}^{ {x}^{2} } . \: \: {2}^{ - 4x} = {2}^{ - 3} \\ {2}^{ {x}^{2} - 4x} = {2}^{ - 3} \\ {x}^{2} - 4x = - 3 \\ {x}^{2} - 4x + 3 = 0 \\ (x - 3)(x - 1) = 0 \\ x = 3 \: atau \: x = 1[/tex]

= x1 < x2

= 1 < 3

= 1 <3

= x1 - x2

= 1 - 3

= -2

[answer.2.content]