Natural Log and Base e

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (ln)

• Common Logarithm (Log)

• Natural Log, base "e" (ln_e)

Solve the equation. Check for extraneous solutions.

 $\ln\left(9x-7\right)=\ln\left(5x+33\right)$   

•  $x=2$  

•  $x=-2$  

•  $x=10$  

•  $x=-10$  

 Solve the equation. Check for extraneous solutions.


 $e^{\left(5-2p\right)}+2=4$  

•  $p=2.1534$ 

•  $p=-4.3069$  

•  $p=0.6931$  

•  $p=2.8466$  

Solve the equation. Check for extraneous solutions. $\ln8+\ln\left(n-9\right)=5\cdot\ln2$ 

•  $n=13$  

•  $n=5.125$  

•  $n=-13$  

•  $n=11.67$  

Solve the equation. Check for extraneous solutions.

 $\ln\left(4w+9\right)=5$  

•  $w=139.4132$  

•  $w=34.8533$  

•  $w=148.4132$  

•  $w=403.4288$  

Solve the equation. Check for extraneous solutions.

 $\ln k-\ln14=2$  

•  $k=14$  

•  $k=7.3891$  

•  $k=103.4468$  

•  $k=1096.6332$  

Solve the equation. Check for extraneous solutions.

 $e^x=21$  

•  $x=3.0445$  

•  $x=5.6857$  

•  $x=1.7559$  

•  $x=-4.0431$  

Solve the equation. Check for extraneous solutions.

 $-2e^c+14=-6$  

•  $c=-2.3026$  

•  $c=2.9957$  

•  $No\ Solutions$ 

•  $c=2.3026$  

Solve the equation. Check for extraneous solutions.

 $e^{\left(y-1\right)}-27=-54$  

•  $y=5.3944$  

•  $No\ Solutions$  

•  $y=4.3944$  

•  $n=2.9444$  

Solve the equation. Check for extraneous solutions.

 $4e^{3k}+1=85$  

•  $k=3.0445$  

•  $k=1.0148$  

•  $k=3.0445$  

•  $k=1.3863$