7.3-7.6 Exponentials and Logarithms

 $e^5\circ3e^4$  

•  $3e^8$  

•  $3e^{20}$  

•  $3e^9$  

•  $3e^{15}$  

 $\frac{18e^3}{6e^8}$  

•  $3e^5$  

•  $4e^{-5}$  

•  $\frac{3}{e^5}$  

•  $\frac{4}{e^5}$  

 $f\left(x\right)=e^{\left(x-2\right)}+4\$  Would have a starting point and extra point at?

• Start: (2,5) Extra: (3,e+4)
  

• Start: (2,4) Extra: (3, e+4)

• Start: (-2,5) Extra: (-1, e+4)
  

• Start: (-2,4) Extra (-1, e+4)

 $\log_{\frac{1}{5}}\left(25\right)$  

• 5

• 3

• -3

• -2

Which of the following would not equal -2?

• $\log_5\left(\frac{1}{25}\right)$

• $\log_{\left(\frac{1}{3}\right)}9$

• $\log_7\left(\frac{1}{49}\right)$

• $\log_{49}\left(\frac{1}{7}\right)$

Expand  $\log\left(\frac{3x^2}{\sqrt{y}}\right)$  

•  $\log\ 3\ +\ 2\ \log\ x\ -\ \frac{1}{2}\log\ y$  

•  $2\log\ \left(3x\right)-\frac{1}{2}\log\ y$  

•  $\log\ 3\ +\ 2\ \log\ x\ -\ 2\ \log\ y$  

•  $\log\ 9\ +\ \log\ x\ -\ \frac{1}{2}\log\ y$  

Condense  $\ln\ x\ -\ 2\ \ln y\ -\ \frac{1}{2}\ln z$  

•  $\ln\left(xy^2\sqrt{z}\right)$  

•  $\ln\left(\frac{x\sqrt{z}}{y^2}\right)$  

•  $\ln\left(\frac{x\sqrt{z}}{y^2}\right)$  

•  $\ln\left(\frac{x}{y^2\sqrt{z}}\right)$  

Solve for x:   $2e^x+3=9$   

• ln(4)
  

•  $\frac{\ln8}{2}$  

• ln(3)

• ln(5)

Solve for x: $\log_2\left(x-4\right)=1$  

• 16

• 125

• 6

• 126

Solve for x: ln(3x-4)=ln(2x+5)

• Extraneous solution

• $\frac{9}{5}$

• 9

• $\frac{1}{2}$