91Ó°ÊÓ

Without using a calculator, explain which of \(\log 50\) or \(\ln 50\) must be larger and why.

Answer the following true or false. Study your logarithm properties carefully before answering. $$ \left(\log _{3} 6\right) \cdot\left(\log _{3} 4\right)=\log _{3} 24 $$

Let \(\mathrm{Y}_{1}=e^{0.3 x}\) and \(\mathrm{Y}_{2}=8,\) and graph the equations. The \(x\) -value of the point of intersection is the solution. Round all solutions to two decimal places. \(2 \log (-5.6 x+1.3)+x+1=0\)

Answer the following true or false. Study your logarithm properties carefully before answering. $$ \begin{aligned} &\text { It is true that } \log 8=\log (8 \cdot 1)=\log 8+\log 1 . \text { Explain how }\\\ &\log 8 \text { can equal } \log 8+\log 1 \end{aligned} $$

Without using a calculator, explain which of \(\log 50^{-1}\) or In \(50^{-1}\) must be larger and why.

Graph each function by finding ordered pair solutions, plotting the solutions, and then drawing a smooth curve through the plotted points. $$ f(x)=e^{x} $$

Graph each function by finding ordered pair solutions, plotting the solutions, and then drawing a smooth curve through the plotted points. $$ f(x)=e^{2 x} $$

Let \(\mathrm{Y}_{1}=e^{0.3 x}\) and \(\mathrm{Y}_{2}=8,\) and graph the equations. The \(x\) -value of the point of intersection is the solution. Round all solutions to two decimal places. Check Exercise \(12 .\) Graph \(5^{2 x-6}-12=0\)

Graph each function by finding ordered pair solutions, plotting the solutions, and then drawing a smooth curve through the plotted points. $$ f(x)=e^{-3 x} $$

Graph each function by finding ordered pair solutions, plotting the solutions, and then drawing a smooth curve through the plotted points. $$ f(x)=e^{-x} $$