<u>Given</u>:
The given expression is
We need to determine the solution of the given expression.
<u>Solution</u>:
Let us solve the exponential equations with common base.
Applying the rule, if then
Thus, we have;
Subtracting both sides of the equation by 9x, we get;
Subtracting both sides of the equation by 18, we have;
Factoring the equation, we get;
Grouping the terms, we have;
Taking out the common term from both the groups, we get;
Factoring out the common term (x - 7), we get;
Thus, the solution of the exponential equations is x = -2 and x = 7.
Hence, Option C is the correct answer.