Pertanyaan

3 x − 2 = 3 2 x + 2 9 x − 5

$3^{x - 2} = \frac{9 ^{x - 5}}{3 ^{2 x + 2}}$

Y. Umi

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

solusi dari adalah .

solusi dari square root of 3 to the power of x minus 2 end exponent end root equals 9 to the power of x minus 5 end exponent over 3 to the power of 2 x plus 2 end exponent

square root of 3 to the power of x minus 2 end exponent end root equals 9 to the power of x minus 5 end exponent over 3 to the power of 2 x plus 2 end exponent

adalah

Pembahasan

Persamaan bilangan berpangkat Sifat eksponen Sehingga diperoleh Jadi, solusi dari adalah .

Persamaan bilangan berpangkat

Sifat eksponen

open parentheses a to the power of m close parentheses to the power of n equals a to the power of m times n end exponent
a to the power of m over a to the power of n equals a to the power of m minus n end exponent

Sehingga diperoleh

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 3 to the power of x minus 2 end exponent close parentheses to the power of 1 half end exponent end cell equals cell open parentheses 3 squared close parentheses to the power of x minus 5 end exponent over 3 to the power of 2 x plus 2 end exponent end cell row cell open parentheses 3 to the power of x minus 2 end exponent close parentheses to the power of 1 half end exponent end cell equals cell open parentheses 3 close parentheses to the power of 2 x minus 10 end exponent over 3 to the power of 2 x plus 2 end exponent end cell row cell 3 to the power of fraction numerator x minus 2 over denominator 2 end fraction end exponent end cell equals cell 3 to the power of 2 x minus 10 end exponent over 3 to the power of 2 x plus 2 end exponent end cell row cell 3 to the power of fraction numerator x minus 2 over denominator 2 end fraction end exponent end cell equals cell 3 to the power of open parentheses 2 x minus 10 close parentheses minus open parentheses 2 x plus 2 close parentheses end exponent end cell row blank blank blank row cell fraction numerator x minus 2 over denominator 2 end fraction end cell equals cell open parentheses 2 x minus 10 close parentheses minus open parentheses 2 x plus 2 close parentheses end cell row blank blank blank row cell fraction numerator x minus 2 over denominator 2 end fraction end cell equals cell 2 x minus 2 x minus 10 minus 2 end cell row cell fraction numerator x minus 2 over denominator 2 end fraction end cell equals cell negative 12 end cell row cell x minus 2 end cell equals cell negative 24 end cell row x equals cell negative 24 plus 2 end cell row x equals cell negative 22 end cell end table$

Jadi, solusi dari square root of 3 to the power of x minus 2 end exponent end root equals 9 to the power of x minus 5 end exponent over 3 to the power of 2 x plus 2 end exponent adalah x equals negative 22 .