The logarithmic equation is $\"\"$ .

Apply exponential formula: $\"\"$ .

$\"\"$

Subtract 3 from each side.

$\"\"$

Divide each side by negative 2.

$\"\"$

$\"\"$ .

Check:-

To check the solution, substitute the value of $\"\"$ in original equation.

$\"\"$

Apply exponential formula: $\"\"$ .

$\"\"$

The statement is true, so the value of $\"\"$ in the solution of original equation.