9.6 - 9.7 Review

Evaluate to four decimal places:  $\log_815$  

• 0.2730

• 0.7679

• 1.3023

• -0.2730

Solve for x:  $\log\ \left(5x-9\right)=2$  

•  $x\ =\ \frac{11}{5}$  

•  $x=\frac{19}{5}$  

•  $x=\frac{91}{5}$  

•  $x=\frac{109}{5}$  

Using  $A\ =Pe^{rt}$ , find the amount owed at the end of 5 years if $3200 is loaned at a rate of 7% compounded continuously. 

• $33244.55

• $4541.02

• $3044.48

• $474922.11

The size of the wolf population at the Isle Royale National Park increases at a rate of 4.3%. If the size of the current population is 95 wolves, find how many there should be in 7 years. Use  $y=y_0e^{0.043t}$ and round to the nearest whole. 

• 99 wolves

• 694 wolves

• 128 wolves

• 95 wolves

Solve for x:  $\log_3x+\log_3\left(x-8\right)=2$  

•  $x=-1$  

•  $x=9$  

•  $x=0$  

•  $x=8$  

Find the magnitude of an earthquake on the Richter Scale with an amplitude of 250 micrometers, 2.1 seconds between waves, and B=2.3. Use  $R=\log\left(\frac{\alpha}{T}\right)+B$  

• R = 4.1

• R = 3.4

• R = 6.2

• R = 4.4

Solve for x:
 $6e^{\left(4x-3\right)}=24$  

•  $x=\frac{\left(\ln\left(4\right)+3\right)}{4}$  

•  $x=3$  

•  $x=\frac{7}{4}$  

•  $x=\ln\left(4\right)+\frac{3}{4}$  

Solve for x:
 $11\ln\left(6x\right)=77$  

•  $x=\frac{e^6}{7}$  

•  $x=\frac{e^{77}}{66}$  

•  $x=1.1667$  

•  $x=\frac{e^7}{6}$  

Solve for x:
 $3^{\left(4x-1\right)}=7^{\left(3x-3\right)}$  

•  $x=\frac{\left(4\log\left(3\right)-3\log\left(7\right)\right)}{\log\left(3\right)-3\log\left(7\right)}$  

•  $x=\frac{\log\left(3\right)}{4\log\left(3\right)}$  

•  $x=\frac{\left(\log\left(3\right)-3\log\left(7\right)\right)}{4\log\left(3\right)-3\log\left(7\right)}$  

•  $x=-2$  

Solve for x:
 $10^{\left(x+3\right)}=5^{\left(2x+5\right)}$  

•  $x=\frac{\left(\log\left(10\right)-2\log\left(5\right)\right)}{5\log\left(5\right)-3\log\left(10\right)}$  

•  $x=\frac{\left(5\log\left(5\right)-3\log\left(10\right)\right)}{\log\left(10\right)-2\log\left(5\right)}$  

•  $x\ =\ \frac{15}{2}$  

•  $x=\log\left(\frac{15}{2}\right)$