Pertanyaan

Pilihlah jawaban a, b, c, d dan e yang menurut anda benar ! Harga x yang memenuhi persamaan 3 2 x + 1 = 9 x − 2 adalah….

Pilihlah jawaban a, b, c, d dan e yang menurut anda benar !

Harga $x$ yang memenuhi persamaan $3^{2 x + 1} = 9^{x - 2}$ adalah….

N. Puspita

Master Teacher

Jawaban terverifikasi

Pembahasan

$table attributes columnalign right center left columnspacing 0px end attributes row cell square root of 3 to the power of 2 x plus 1 end exponent end root end cell equals cell 9 to the power of x minus 2 end exponent end cell row cell 3 to the power of fraction numerator 2 x plus 1 over denominator 2 end fraction end exponent end cell equals cell open parentheses 3 squared close parentheses to the power of x minus 2 end exponent end cell row cell 3 to the power of fraction numerator 2 x plus 1 over denominator 2 end fraction end exponent end cell equals cell 3 to the power of 2 x minus 4 end exponent end cell row cell fraction numerator 2 x plus 1 over denominator 2 end fraction end cell equals cell 2 x minus 4 end cell row cell 2 x plus 1 end cell equals cell left parenthesis 2 x minus 4 right parenthesis times 2 end cell row cell 2 x plus 1 end cell equals cell 4 x minus 8 end cell row cell 2 x minus 4 x end cell equals cell left parenthesis negative 8 right parenthesis minus 1 end cell row cell negative 2 x end cell equals cell negative 9 end cell row x equals cell fraction numerator negative 9 over denominator negative 2 end fraction end cell row x equals cell 4 comma 5 end cell end table$