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1.
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Rewrite the logarithm as a ratio of common
logarithms.
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2.
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Find the exact value of the logarithmic expression
without using a calculator.
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3.
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Condense the expression to the logarithm of a
single quantity.
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4.
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Determine whether the statement is true or false
given that  .
a. | True | b. | False;  |
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5.
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Use the properties of logarithms to rewrite and
simplify the logarithmic expression.
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6.
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Evaluate the logarithm  using the
change of base formula. Round to 3 decimal places.
a. | 3.738 | b. | 1.921 | c. | 0.521 | d. | 7.273 | e. | 1.623 |
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7.
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Simplify the expression  .
a. |  | b. |  | c. | 6 | d. | The expression
cannot be simplified. | e. |  |
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8.
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The pH of an acidic solution is a measure of the
concentration of the acid particles in the solution, with smaller values of the pH indicating higher
acid concentration. In a laboratory experiment, the pH of a certain acid solution is changed by
dissolving over-the-counter antacid tablets into the solution. In this experiment, the pH changes
according to the equation
 ,
where x is the number of grams of antacid
added to the solution. What is the pH of the solution after the addition of 0.05 grams of antacid
tablet?
a. | 5.78 | b. | 3.67 | c. | –0.90 | d. | 3.98 | e. | 4.88 |
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9.
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Condense the expression 
to the logarithm of a single term.
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10.
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Condense the expression 
to the logarithm of a single term.
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