Roboguru

Jika , maka sama dengan ....

Jika 3 to the power of x plus 2 end exponent plus 9 to the power of x plus 1 end exponent equals 810, maka 3 to the power of x minus 3 end exponent sama dengan ....

  1. 1 over 9

  2. 1 third

  3. 1

  4. 3

  5. 9

Jawaban:

3 to the power of x plus 2 end exponent plus 9 to the power of x plus 1 end exponent equals 810  9.3 to the power of x plus 9.3 to the power of x minus 810 equals 0  3 to the power of 2 x end exponent plus 3 to the power of x minus 90 equals 0

Misalkan: y=3 to the power of x

y squared plus y minus 90 equals 0  left parenthesis y plus 10 right parenthesis left parenthesis y minus 9 right parenthesis equals 0  y equals negative 10 space logical or space y equals 9

3 to the power of x equals negative 10 (penyelesaian bukan bil real) logical or space 3 to the power of x equals 9

3 to the power of x equals 9 rightwards arrow x equals 2  3 to the power of x minus 3 end exponent equals 3 to the power of 2 minus 3 end exponent equals 1 third

 

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