Logarithmic Functions (College Board AP® Precalculus): Exam Questions

4 mins4 questions
1
1 mark

The function space j is given by space j open parentheses x close parentheses equals log subscript 2 x plus 3 log subscript 2 2.

Rewrite space j open parentheses x close parentheses as a single logarithm base 2 without negative exponents in any part of the expression. Your result should be of the form log subscript 2 open parentheses expression close parentheses.

2
1 mark

The function space j is given by space j open parentheses x close parentheses equals log subscript 10 open parentheses 8 x to the power of 5 close parentheses plus log subscript 10 open parentheses 2 x squared close parentheses minus 9 log subscript 10 x.

Rewrite space j open parentheses x close parentheses as a single logarithm base 10 without negative exponents in any part of the expression. Your result should be of the form log subscript 10 open parentheses expression close parentheses.

3
Sme Calculator
1 mark

The function space j is given byspace j open parentheses x close parentheses equals 3 log subscript 5 open parentheses 2 x close parentheses minus 1 third log subscript 5 x

Rewrite space j open parentheses x close parentheses as a single logarithm base 5 without negative exponents in any part of the expression. Your result should be of the form log subscript 5 open parentheses expression close parentheses.