AP®MathsCollege BoardPrecalculusExam QuestionsExponential & Logarithmic FunctionsExponential & Logarithmic Equations & Inequalities

Exponential & Logarithmic Equations & Inequalities (College Board AP® Precalculus): Exam Questions

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Exponential & Logarithmic Equations & Inequalities

1
Sme Calculator
1 mark

Consider the functions f and g given by f open parentheses x close parentheses equals log subscript 3 open parentheses x minus 2 close parentheses plus log subscript 3 open parentheses x plus 4 close parentheses and g open parentheses x close parentheses equals log subscript 3 open parentheses x plus 10 close parentheses. In the x y-plane, what are all x-coordinates of the points of intersection of the graphs of f and g?

  • x = \frac{- 1 + \sqrt{73}}{2} only

  • x = 6

  • x = \frac{- 1 - \sqrt{73}}{2} and x = \frac{- 1 + \sqrt{73}}{2}

  • x = - 6 and x = - 3

Choose your answer

2
Sme Calculator
1 mark

The function P is given by P \left(t\right) = \frac{800{,}000}{1 + 0.6 e^{k t}}, where k is a constant. If P open parentheses 5 close parentheses equals 450 comma 000, what is the value of P \left(15\right) ?

  • 240 comma 000

  • 346 comma 776

  • 398 comma 361

  • 612 comma 105

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