Math Test: Exponential and Logarithmic Equations
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Questions and Answers

What is the solution to the exponential equation $2^{x} = 16$?

  • $x = 4$ (correct)
  • $x = 8$
  • $x = -4$
  • $x = \log_2{16}$

    • Which of the following represents the correct transformation for the exponential function $f(x) = 3 imes 2^x$?

  • $f(x) = 6^{x}$
  • $f(x) = 3^{2x}$ (correct)
  • $f(x) = 3^{x+2}$
  • $f(x) = 6 imes 2^{x}$

    • What is the solution to the logarithmic equation $rac{1}{3} ext{ln}(x) = 2$?

  • $x = e^{6}$
  • $x = e^{6/3}$
  • $x = e^{6} / 3$ (correct)
  • $x = e^{6} / e^3$

    • Which of the following is a correct expression for compound interest when it is compounded continuously?

    <p>$A = Pe^{rt}$</p> Signup and view all the answers

    How can the logarithmic equation $ ext{log}_2(8) + ext{log}_2(4) - ext{log}_2(2)$ be simplified?

    <p>$ ext{log}_2(8 imes 4 imes 2)$</p> Signup and view all the answers

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