91Ó°ÊÓ

For simple interest accounts, the interest earned or due depends on the principal \(p\), interest rate \(r\), and the time \(t\) in years according to the formula \(I=p r t.\) Find \(p\) given \(I=\$ 229.50, r=6.25 \%,\) and \(t=9\) months.

Solve each equation by applying fundamental properties. Round to thousandths. $$\log x=1.6$$

Solve each equation by applying fundamental properties. Round to thousandths. $$e^{x}=9.025$$

Olivette Custom Auto Service borrowed \(\$ 120,000\) at \(4.75 \%\) simple interest to expand their facility from three service bays to four. If they repaid S149,925, what was the term of the loan?

Write each equation in exponential form. $$\log _{10} 10,000=4$$

Write each equation in exponential form. $$\log _{e}(54.598) \approx 4$$

Graph each of the following functions by translating the basic function \(y=b^{x}\), sketching the asymptote, and strategically plotting a few points to round out the graph. Clearly state the basic function and what shifts are applied. $$y=3^{-x}$$

Write each equation in logarithmic form. $$e^{3} \approx 20.086$$

Solve each equation. Write answers in exact form and in approximate form to four decimal places. $$\frac{1}{2} \ln (2 x+5)+3=3.2$$

Use properties of logarithms to write each expression as a single term. $$\log x-\log (x+1)$$