91Ó°ÊÓ

In Exercises 73-78, (a) plot the points, (b) find the distance between the points, (c) find the midpoint of the line segment joining the points, and (d) find the slope of the line passing through the points. $$ (7,0),(10,4) $$

Condense the expression to the logarithm of a single quantity. $$ 2[3 \ln x-\ln (x+1)-\ln (x-1)] $$

In Exercises 75-102, solve the logarithmic equation algebraically. Approximate the result to three decimal places. $$ \ln x=2 $$

\(f(x)=\ln (x+2)\)

Graph the functions given by \(y=3^{x}\) and \(y=4^{x}\) and use the graphs to solve each inequality. (a) \(4^{x}<3^{x}\) (b) \(4^{x}>3^{x}\)

\(f(x)=\ln x+2\)

In Exercises 73-78, (a) plot the points, (b) find the distance between the points, (c) find the midpoint of the line segment joining the points, and (d) find the slope of the line passing through the points. $$ \left(\frac{1}{2},-\frac{1}{4}\right),\left(\frac{5}{4}, 0\right) $$

In Exercises 75-102, solve the logarithmic equation algebraically. Approximate the result to three decimal places. $$ \ln 2 x=2.4 $$

Condense the expression to the logarithm of a single quantity. $$ \frac{1}{3}\left[\log _{8} y+2 \log _{8}(y+4)\right]-\log _{8}(y-1) $$

In Exercises 73-78, (a) plot the points, (b) find the distance between the points, (c) find the midpoint of the line segment joining the points, and (d) find the slope of the line passing through the points. $$ \left(\frac{7}{3}, \frac{1}{6}\right),\left(-\frac{2}{3},-\frac{1}{3}\right) $$