Logarithmic Functions Quiz
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Questions and Answers

What is the value of 5 log5 36?

  • 6
  • 25
  • 7
  • 10 (correct)

    • If 4 log4 x = 81, what is the value of x?

  • 32
  • 64
  • 16
  • 256 (correct)

    • Express the equation e^(x+1) = 0.8 in logarithmic form.

  • loge 0.8 = x - 1
  • loge 0.8 = x + 1 (correct)
  • ln 0.8 = x - 1
  • ln 0.8 = x + 1

    • Evaluate eln(3).

    <p>3</p> Signup and view all the answers

    If e^(0.3x) = t, express this equation in logarithmic form.

    <p>ln t = 0.3x</p> Signup and view all the answers

    The charge time equation t = -k ln(1 - C/C0) models battery charging. If k is doubled, how does it affect the rate at which the battery charges?

    <p>The charging rate remains the same</p> Signup and view all the answers

    What is the exponential form of the equation ln 7 = x?

    <p>e^x = 7</p> Signup and view all the answers

    Evaluate the logarithmic expression log2 1.

    <p>-1</p> Signup and view all the answers

    Using the definition of logarithmic function, solve for x in the equation logx 1000 = 3.

    <p>x = 10</p> Signup and view all the answers

    Evaluate the logarithmic expression log2 32.

    <p>-5</p> Signup and view all the answers

    Find the value of x in the equation logx 25 = 2 using the definition of logarithm.

    <p>x = 5</p> Signup and view all the answers

    What is the value of $x$ when $\log_x 2 = \frac{1}{2}$?

    <p>$x = 4$</p> Signup and view all the answers

    Express $4^{-1/2} = 0.5$ in logarithmic form.

    <p>$\log_4 0.5 = -1/2$</p> Signup and view all the answers

    If $\log_9 3 = x$, what is the value of x?

    <p>$x = 1/3$</p> Signup and view all the answers

    Write the equation $63 = 216$ in logarithmic form.

    <p>$\log_{63} 216 = 1$</p> Signup and view all the answers

    Evaluate $\log_7 49^2$.

    <p>$\log_7 196$</p> Signup and view all the answers

    Given $\log_a b = c$, what is the value of $a^c$?

    <p>$c$</p> Signup and view all the answers

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