$\"\"$

\

The equation is $\"\"$ .

\

Apply quotient property logarithm: $\"\"$ .

\

$\"\"$

\

$\"\"$ (Apply exponential formula: $\"\"$ ) $\"\"$

\

Apply Property of equality for logarithmic functions $\"\"$ .

\

$\"\"$

\

Multiply each side by $\"\"$ .

\

$\"\"$ \ \

\

$\"\"$

\

$\"\"$ $\"\"$

\

Subtract $\"\"$ from each side.

\

$\"\"$

\

$\"\"$

\

Factors of left side: $\"\"$ .

\

$\"\"$ $\"\"$

\

Solve the factor $\"\"$ .

\

$\"\"$ (Add 3 to each side)

\

$\"\"$

\

$\"\"$ (Divide each side by 2)

\

$\"\"$

\

$\"\"$

\

Check:

\

To check the solution, substitute: $\"\"$ in $\"\"$ .

\

$\"\"$

\

Apply quotient property logarithm: $\"\"$ .

\

$\"\"$ $\"\"$

\

Apply exponential formula: $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ (Evaluate power: $\"\"$ )

\

$\"\"$

\

$\"\"$ (Subtract: $\"\"$ )

\

$\"\"$

\

The solution is true. $\"\"$

\

The solution is $\"\"$ .