Log and Exp check for understanding

Solve the exponential equation.
 $2^{\left(x-3\right)}=2^{\left(3x+7\right)}$  

•  $x=10$  

•  $x=5$  

•  $x=-10$  

•  $x=-5$  

Solve the logarithmic equation.
 $\log_5\left(3x-1\right)=\log_5\left(4x-5\right)$  

•  $x=4$  

•  $x=5$  

•  $x=\frac{6}{7}$  

•  $x=-4$  

Solve the exponential equation.
 $5^{\left(x+1\right)}=25^{\left(x-3\right)}$  

•  $x=2$  

•  $x=-5$  

•  $x=7$  

•  $x=-7$  

Rewrite the exponential equation in logarithmic form.
 $\log_216=4$  

•  $4^2=16$  

•  $2^4=16$  

•  $16^2=4$  

•  $2^{16}=4$  

Rewrite the logarithmic equation in exponential form.
 $\log_381=4$  

•  $3^{81}=4$  

•  $3^4=81$  

•  $4^3=81$  

•  $81^3=4$