$\"\"$

\

(a)

\

The equation is $\"\"$ .

\

Defintion of the logarithm function with base $\"\"$ : $\"\"$ if and only if $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

(b)

\

The logarithmic equation is $\"\"$ .

\

Product property of logarithm $\"\"$ .

\

$\"\"$ .

\

Property of natural logarithm: $\"\"$ .

\

$\"\"$

\

Quadratic formula: $\"\"$ .

\

Here $\"\"$ , $\"\"$ and $\"\"$ .

\

Substitue above values in $\"\"$ .

\

$\"\"$

\

$\"\"$ is not in the domain of the equation.

\

$\"\"$ is not the solution of the equation.

\

Therefore, $\"\"$ is the root of the equation.

\

$\"\"$ .

\

$\"\"$

\

(a) $\"\"$ .

\

(b) $\"\"$ .