Solve the exponential equation.
$81^{x+1}=27^{x+5}$

Solve the logarithmic equation.

$\(\log\]\left\)(x+2\(\right\))+\(\log\)2=3$

Solve the logarithmic equation.

$\(\log\)_7\(\left\)(6x+13\(\right\))=2$

Solve the exponential equation.

$4^{x+7}=16$

Solve the exponential equation.

$100^{x}=10^{x+17}$

Solve the exponential equation.

$2\(\cdot\)10^{3x}=5000$

Solve the exponential equation.

$900=10^{x+17}$

Solve the exponential equation.

$e^{2x+5}=8$

Solve the exponential equation.

$7^{2x^2-8}=1$