Solving exponential equations with a common base problem in the picture!

Given:

The given expression is

We need to determine the solution of the given expression.

Solution:

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.