91Ó°ÊÓ

\(\ln \frac{4}{e^{1.5}}\)

In Exercises 73-78, solve the trigonometric equation. $$ \sqrt{2} \sec \theta=2 \csc \frac{\pi}{4} $$

Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.) $$\log _{4} \frac{\sqrt{2 x}}{y}$$

Use a graphing utility to graph the function given by $$ h(x)=2 x^{4}+x^{3}-19 x^{2}-9 x+9 . $$ Use the graph to approximate the zeros of \(h\).

Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.) $$\ln x(x+4)^{2}$$

In Exercises 79-86, use the information to solve the triangle. Round your answers to two decimal places. $$ A=35^{\circ}, a=10, b=7 $$

In Exercises 79-82, find the exact value of the trigonometric function given that \(u\) and \(v\) are in Quadrant IV and \(\sin u=-\frac{3}{5}\) and \(\cos v=1 / \sqrt{2}\). $$ \cos (u+v) $$

In Exercises 79-82, find the exact value of the trigonometric function given that \(u\) and \(v\) are in Quadrant IV and \(\sin u=-\frac{3}{5}\) and \(\cos v=1 / \sqrt{2}\). $$ \sin (u+v) $$

Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.) $$\ln 5 x^{2}\left(x^{2}+1\right)$$

In Exercises 79-86, use the information to solve the triangle. Round your answers to two decimal places. $$ A=40^{\circ}, B=51^{\circ}, c=3 $$