Question

THUWIZZ...
Tentukan nilai x yang memenuhi persamaan :
[tex] \rm \: {2}^{3x + 8 }= {16}^{2x - 8} \\ [/tex]
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Answer 1

Verified answer

Eksponen

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Diberikan

• [tex] \rm \: {2}^{3x + 8 }= {16}^{2x - 8} \\ [/tex]

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Tentukan

• Nilai x

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Hasil dan Perhitungan

[tex]~~~~ \rm \: {2}^{3x + 8 }= {16}^{2x - 8}[/tex]

[tex] ~~~~\rm \: {2}^{3x + 8 }= {(2 {}^{4} )}^{2x - 8}[/tex]

[tex]~~~~ \rm \: {2}^{3x + 8 }= 2 {}^{8x - 32} [/tex]

[tex]~~ \rm \: 3x + 8 = 8x - 32[/tex]

[tex] \rm \: 3x - 8x = - 32 - 8[/tex]

[tex]~~~~~~ \rm \: - 5x= - 40[/tex]

[tex]~~~~~~~~~~~ \rm \: x= \frac{ - 40}{ - 5} [/tex]

[tex] ~~~~~~~~~~\rm \: \boxed{ x= 8}[/tex]

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[like aja jgn dirate, ratenya biarin 1.0]

[tex]\boxed{\colorbox{ccddff}{Answered by Danial Alf'at}}\boxed{\colorbox{ccddff}{08/03/23}}[/tex]

Answer 2

Penjelasan dengan langkah-langkah:

2^3x + 8 = 16^2x - 8

2^3x + 8 = (2⁴)^2x - 8

3x + 8 = 2x - 32

-5x = -40

x = 8