91Ó°ÊÓ

Simplify the expression. \(\ln e^{x+1}\)

Tell whether \(x\) and \(y\) are in a proportional relationship. \(y=\frac{x}{2}\)

Use the change-of-base formula to evaluate the logarithm. $$\log _3 \frac{9}{40}$$

Write a rule for \(g\) that represents the indicated transformation of the graph of \(f\). \(f(x)=\log _{1 / 2} x\); translation 3 units left and 2 units up, followed by a reflection in the \(y\)-axis

You invest $$\$ 2500$$ in an account to save for college. Account 1 pays \(6 \%\) annual interest compounded quarterly. Account 2 pays \(4 \%\) annual interest compounded continuously. Which account should you choose to obtain the greater amount in 10 years? Justify your answer.

Use the given information to find the amount \(A\) in the account earning compound interest after 6 years when the principal is \(\$ 3500\).\(r=2.16 \%\), compounded quarterly

Tell whether \(x\) and \(y\) are in a proportional relationship. \(y=3 x-12\)

Your friend claims you can use the change-of-base formula to graph \(y=\log _3 x\) using a graphing calculator. Is your friend correct? Explain your reasoning.

Use the given information to find the amount \(A\) in the account earning compound interest after 6 years when the principal is \(\$ 3500\).\(r=2.29 \%\), compounded monthly

Write a rule for \(g\) that represents the indicated transformation of the graph of \(f\). \(f(x)=\ln x\); translation 3 units right and 1 unit up, followed by a horizontal stretch by a factor of 8