|Use the power rule and the quotient rule to condense to a single logarithm|
|Since both sides of the equation have the same log base the expressions inside the logarithms must be equal|
|Clear the denominator by multiplying by 2 on both sides and simplifying|
|Get x by itself by subtracting 7 on both sides|
|Get x by itself by dividing both sides by negative 1|
The solution to the equation is x=1.