91Ó°ÊÓ

In Exercises \(5-10\) evaluate the expression without using a calculator. $$\log _{2} \frac{1}{8}$$

Solving an Exponential or Logarithmic Equation In Exercises \(3-18,\) solve for \(x\) accurate to three decimal places. $$e^{x}=12$$

Numerical and Graphical Analysis In Exercises \(3-6\) complete the table and use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result. $$\lim _{x \rightarrow \infty} x^{5} e^{-x / 100}$$

Exercises \(5-8,\) use a graphing utility to evaluate the logarithm by (a) using the natural logarithm key and (b) using the integration capabilities to evaluate the integral \(\int_{1}^{x}(1 / t) d t\) $$\ln 45$$

Solving an Exponential or Logarithmic Equation In Exercises \(3-18,\) solve for \(x\) accurate to three decimal places. $$5 e^{x}=36$$

Exercises \(5-8,\) use a graphing utility to evaluate the logarithm by (a) using the natural logarithm key and (b) using the integration capabilities to evaluate the integral \(\int_{1}^{x}(1 / t) d t\) $$\ln 8.3$$

Numerical and Graphical Analysis In Exercises \(3-6\) complete the table and use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result. $$\lim _{x \rightarrow \infty} \frac{6 x}{\sqrt{3 x^{2}-2 x}}$$

In Exercises 3-22, find the indefinite integral. $$\int \frac{12}{1+9 x^{2}} d x$$

In Exercises \(5-10\) evaluate the expression without using a calculator. $$\log _{3} 81$$

In Exercises \(5-28\) , find the indefinite integral. $$\int \frac{1}{x-5} d x$$