7.5B Solving log and ln Equations

Solve. Round your answers to the nearest thousandth. Check for extraneous solutions. $\log_3\left(2n+5\right)=\log_3\left(4n-3\right)$  

•  $n=4$  

•  $n=8$  

•  $n=3$  

•  $n=2$  

Solve. Round your answers to the nearest thousandth. Check for extraneous solutions. $\ln x-\ln4=\ln5$  

•  $x=9$  

•  $x=20$  

•  $x=1$  

•  $x=2$  

Solve. Round your answers to the nearest thousandth. Check for extraneous solutions. $\log\left(a+3\right)+\log\left(a-4\right)=\log8$  

•  $a=-4$  

•  $a=9$  

•  $a=5$  

•  $a=-4,\ a=\ 5$  

Solve. Round your answers to the nearest thousandth. Check for extraneous solutions. $\log_2w+\log_2w-\log_24=\log_225$  

•  $w=\pm10$  

•  $w=29$  

•  $w=14.5$  

•  $w=10$  

Solve. Round your answers to the nearest thousandth. Check for extraneous solutions. $\log_4\left(2b\right)=3$  

•  $b=\frac{3}{2}$  

•  $b=32$  

•  $b=6$  

•  $b=24$  

Solve. Round your answers to the nearest thousandth. Check for extraneous solutions. $\log\left(3y+1\right)=2$  

•  $y=32$  

•  $y=3$  

•  $y=\frac{1}{3}$  

•  $y=33$  

Solve. Round your answers to the nearest thousandth. Check for extraneous solutions. $4\ln x=10$  

•  $x=2.5$  

•  $x=12.182$  

•  $x=11.992$  

•  $x=4.256$  

Solve. Round your answers to the nearest thousandth. Check for extraneous solutions. $\log_3x+\log_3\left(x-8\right)=2$  

•  $x=0.250$  

•  $x=5$  

•  $x=-1,\ x=9$  

•  $x=9$  

Solve. Round your answers to the nearest thousandth. Check for extraneous solutions. $\log_9\left(7n-11\right)=\frac{1}{2}$  

•  $n=1.6429$  

•  $n=2$  

•  $n=2.350$  

•  $n=-2$  

Solve. Round your answers to the nearest thousandth. Check for extraneous solutions. $\ln x+4=7$  

•  $x=20.086$  

•  $x=3$  

•  $x=3.673$  

•  $x=19.221$