8.5 Solving Exponential Equations

Solve for x.  $3^{8x}=3^{5x-6}$  

Select all of the following equations where $x=2$  

•  $3^x=9$  

•  $4^x=64$  

•  $\left(\frac{1}{2}\right)^x=\frac{1}{4}$  

•  $9^x=3$  

•  $5^x=25$  

Solve for x.  $2^x=\frac{1}{64}$  

Solve for x.  $3^{2x+1}=27$  

Solve for x.  $8^{1-x}=4^{x+2}$  

Solve for x.  $\frac{1}{16}=8^{4x-2}$  

•  $x=6$  

•  $x=\frac{1}{6}$  

•  $x=\frac{5}{6}$  

•  $x=-\frac{1}{6}$  

Solve for x.  $\frac{1}{\sqrt{5}}=25^{\frac{x-1}{2}}$  

•  $x=0$  

•  $x=-\frac{1}{2}$  

•  $x=\frac{1}{2}$  

•  $x=1$  

Solve for x.  $9^{x+2}=27^{4x-2}$  

Solve for x.  $\left(\frac{1}{8}\right)^{x+3}=64$  

•  $x=-5$  

•  $x=-\frac{1}{5}$  

•  $x=-1$  

•  $x=1$  

Solve for x.  $36^{2x}=216$