Solve the given exponential equation. Express the solution set in terms of natural logarithms or common logarithms. Then use a calculator to obtain a decimal approximation for the solution. \( 3 e^{\mathrm{x}}=53 \) The solution set expressed in terms of logarithms is (Use a comma to separate answers as needed. Simplify your answer. Use integers or fractions for any numbers in the equation.) Now use a calculator to obtain a decimal approximation for the solution. The solution set is \( \{\square\} \). (Use a comma to separate answers as needed. Round to two decimal places as needed.)

Determine whether the following equation defines \( y \) as a function of \( x \). \( x^{2}+y^{2}=49 \) point(s) possibl Does the equation \( x^{2}+y^{2}=49 \) define \( y \) as a function of \( x \) ? Yes No

3 Plotëso barazimet \( \frac{2}{5}+\frac{\ldots}{\ldots}=\frac{4}{5} \)

1200 1500 Mary must leave for the airport in 90 minutes. Mary wants to go to lunch with her husband Nik before, which usually takes 60 minutes, plus the time to drive there ( \( x \) ) and back ( \( x \) ). Mary and Nik go to many restaurants. In choosing one, how far of a drive to the restaurant can Mary and Nik consider? (Assume no extra traffic either direction). 15 minutes 30 minutes

Write the following in simplified radical form. \( \sqrt[4]{243} \)

Write each set in the indicated form. If you need to use "..." to indicate a pattern, make sure to list at least four elements of the set. (a) Roster form: \( \{-2,-1,0,1,2,3\} \) Set-builder form: (Choose one) (b) Set-builder form: \( \{y \mid y \) is an integer and \( y \geq-2\} \) Roster form: \( \square \)