CHAPTER 13 PRACTICE TEST

As a study aid, we have included complete solutions for each Practice Test problem at the end of this book.

In Problems 1–4, determine the value of x.

$\log_{9} x = - \frac{1}{2}$ $\log_{9} x = - \frac{1}{2}$
$\log_{3} x - \log_{3} 2 = 2$ $\log_{3} x - \log_{3} 2 = 2$
$\log_{x} 64 = 3$ $\log_{x} 64 = 3$
$3^{3 x + 1} = 8$ $3^{3 x + 1} = 8$
Graph the function $y = 2 \log_{4} x .$ $y = 2 \log_{4} x .$
Graph the function $y = 2 (3^{x})$ $y = 2 (3^{x})$ on semilog paper.
Express $\log_{5} (\frac{4 a^{3}}{7})$ $\log_{5} (\frac{4 a^{3}}{7})$ as a combination of a sum, difference, and multiple of logarithms, including $\log_{5} 2.$ $\log_{5} 2.$
Solve for y in terms of $x : 3 \log_{7} x - \log_{7} y = 2.$ $x : 3 \log_{7} x - \log_{7} y = 2.$
An equation used for a certain electric circuit is $\ln i - \ln I = - t / R C .$ $\ln i - \ln I = - t / R C .$ Solve for i.
Evaluate: $\frac{2 \ln 0.9523}{\log 6066} .$ $\frac{2 \ln 0.9523}{\log 6066} .$
Evaluate: $\log_{5} 732.$ $\log_{5} 732.$
If $A_{0}$ $A_{0}$ dollars are invested at 8%, compounded continuously for t years, the value A of the investment is given by $A = A_{0} e^{0.08 t} .$ $A = A_{0} e^{0.08 t} .$ Determine how long it takes for the investment to double in value.

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