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  1. AP Pre Calculus
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Exponential and Logarithmic Functions

Question 1
college-boardPre-CalculusAPExam Style
1 mark

Which of the following is an example of a logarithmic equation?

Question 2
college-boardPre-CalculusAPExam Style
1 mark

If ex=e7e^x = e^7ex=e7, what is the value of xxx?

Question 3
college-boardPre-CalculusAPExam Style
1 mark

For what value(s) of x does the inequality e2x−7<ex+41e^{2x}-7 < e^x +41e2x−7<ex+41 hold true?

Question 4
college-boardPre-CalculusAPExam Style
1 mark

What is the value of x in the equation 2x=82^x = 82x=8?

Question 5
college-boardPre-CalculusAPExam Style
1 mark

Solve for y in the equation ey=7e^y=7ey=7.

Question 6
college-boardPre-CalculusAPExam Style
1 mark

If f(x)=exf(x) = e^xf(x)=ex, what is f(0)f(0)f(0)?

Question 7
college-boardPre-CalculusAPExam Style
1 mark

Which characteristic is unique to numerical methods when solving logarithmic inequalities?

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Question 8
college-boardPre-CalculusAPExam Style
1 mark

What is log⁡10(100)\log_{10}(100)log10​(100)?

Question 9
college-boardPre-CalculusAPExam Style
1 mark

Solve for y in the equation log⁡(y)=0\log(y) = 0log(y)=0.

Question 10
college-boardPre-CalculusAPExam Style
1 mark

If 5x=1255^x = 1255x=125, what is the value of 2x+12^{x+1}2x+1?