school
Acemy

Nonlinear Functions

SAT Math· difficulty 3/5

Solve: 7x=49x−17^{x} = 49^{x-1}.

  • A

    22

    check_circle
  • B

    44

  • C

    33

  • D

    11

Explanation

49=7249 = 7^2, so 7x=72(x−1)⇒x=2x−2⇒x=27^x = 7^{2(x-1)} \Rightarrow x = 2x - 2 \Rightarrow x = 2.

Want 10 more like this — adaptive to your weak spots?

Practice 10 like thisarrow_forwardPredict my AP score

Related questions

auto_awesomeAll Toolsquestion_answerHomework Q&Amenu_bookAP & SAT PreptimelineLearn Mode