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
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1 mark

The functions g is given by g open parentheses x close parentheses equals 2 log subscript 3 x.

Solve g open parentheses x close parentheses equals 4 for values of x in the domain of g.

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2
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2 marks

The function m is given by m open parentheses x close parentheses equals e to the power of 2 x end exponent minus e to the power of x minus 12. Find all input values in the domain of m that yield an output value of 0.

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3
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1 mark

The function g is given by space g open parentheses x close parentheses equals e to the power of open parentheses x plus 3 close parentheses end exponent.

Solve g open parentheses x close parentheses equals 10 for values of x in the domain of g.

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4
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1 mark

The function g is given by g open parentheses x close parentheses equals 2.916 times open parentheses 0.7 close parentheses to the power of x.

Find all values of x, as decimal approximations, for which g open parentheses x close parentheses equals 2, or indicate that there are no such values.

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5
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1 mark

The function g is given by g open parentheses x close parentheses equals ln open parentheses x squared minus 9 close parentheses.

Solve g open parentheses x close parentheses equals ln space 40 for values of x in the domain of g.

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6
Sme Calculator
2 marks

The function m is given by m open parentheses x close parentheses equals fraction numerator e to the power of 4 x end exponent over denominator e to the power of 4 x end exponent minus 12 end fraction. Find all input values in the domain of m that yield an output value of 4.

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