91Ó°ÊÓ

Fill in the blanks. The ______ of \(f\) and \(g,\) denoted as \(f+g,\) is defined by \((f+g)(x)=\) ______ and the _____ of \(f\) and \(g\) denoted as \(f-g,\) is defined by \((f-g)(x)=\) _____.

Fill in the blanks. The logarithm of a _______, such as \(\log _{3} 4 x,\) equals the sum of the logarithms of the factors.

______________ interest is paid on the principal and previously earned interest.

Fill in the blanks. If \(n\) gets larger and larger, the value of \(\left(1+\frac{1}{n}\right)^{n}\) approaches the value of ___.

Fill in the blanks. If the point \((9,-4)\) is on the graph of the one-to-one function \(f\) then the point \((\quad, \quad)\) is on the graph of \(f^{-1}\)

Fill in the blanks. The logarithmic equation \(\ln x=1.5318\) is equivalent to the exponential equation __\(=\)___.

Match expression with an equivalent expression from the list on the right. \(\log _{3} 10^{11}\) a. \(\frac{\log 11}{\log 3}\) b. \(11 \log _{3} 10\) c. \(\log _{3} 5+\log _{3} 2\) d. \(\log _{3} 10-\log _{3} 11\)

Evaluate expression. \(\ln e^{8}\)

Evaluate expression. \(8^{\log _{8} 10}\)

Evaluate expression. \(\ln e\)