# Trigonometry Test 2 is on Tuesday!

There are 14 questions, broken down as follows.

3 graphing rational functions

2 simplifying logs

3 log equations

2 exponential equations

1 inverse function

1 graphing exponential function

1 graphing log function

1 write the equation of an exponential function given certain conditions

Here are some good review questions.

1. Solve for $x$: $\log_5(2x)=\log_5(x+1)-1$
2. Solve for $x$ and express your solution as a ratio of natural logs: $3^{\frac{-x}{2}}=4^{x+1}$
3. Sketch the graph of $f(x)=-\ln(x-4)+2$
4. Sketch the graph of $f(x)=e^{\frac{-x}{3}+1}$
5. Sketch the graph of $f(x)=\frac{(x+2)^2(x+1)}{(x-4)^3(x-6)}$
6. $f(x)$ has a horizontal asymptote at $y=5$. Where is the asymptote for $f^{-1}(x)$?
7. $f(x)=-5^x+1$. Write the equation for $f^{-1}(x)$.
8. Solve for $x$ and express your solution as a ratio of natural logs: $3^x+2=10$.
9. Re-write as an exponential equation: $\log_{64}4=\frac{1}{3}$.
10. Sketch the graph of $f(x)=\frac{6x^2+19x-7}{2x+7}$

Also study quizzes 2, 3, and 4.