[tex]\large \sf{2}^{2x + 2} = {16}^{x} \\ \large \: \: \: \: \: \sf x = ...[/tex]
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Penyelesaian:
2^2x+2=16^x
2^2x+2=2^4x
2x+2=4x
2=4x-2x
2=2x
x=1
[tex]\boxed{ \colorbox{black}{ \sf{ \color{lightgreen}{ answered\:by\:Duone}}}}[/tex]
- Penyelesaian soal -
[tex] \: [/tex]
[tex] \large \tt \: {2}^{2x + 2} = {16}^{x} \\ \large \: \: \: \: \: \sf x = ...[/tex]
[tex] \sf\:2 {}^{(2 + 2)x} = 16 {}^{x} [/tex]
[tex] \large \tt \: 2 {}^{4x} = 16x[/tex]
[tex] \large \tt \: x = 16x \div 2 {}^{4x} [/tex]
[tex] \large \tt \: x = 16 \div 2 {}^{4} [/tex]
[tex] \tt \large \: x = 16 \div (2 \times 2 \times 2 \times 2)[/tex]
[tex] \tt \: x = 16 \div (4 \times 4)[/tex]
[tex] \tt \large \: x =( 16 \div 16) [/tex]
[tex] \sf \large\: x = 1[/tex]
_Inti Jawaban_
- Maka, Nilai x = 1
