Using the equality of exponents to get the same base and solve

The video tutorial introduces the concept of a thesis statement and demonstrates solving an equation by converting numbers to a common base. It covers the application of distributive and state properties to solve the equation step-by-step, ensuring a clear understanding of the process.

What is the initial problem that needs to be solved in the video?

• Finding the value of X in a linear equation

• Finding a common base for an exponential equation

• Solving a quadratic equation

• Determining the slope of a line

Why is base 9 not suitable for rewriting the equation?

• Because 9 is too large for the equation

• Because 9 is not a prime number

• Because 9 cannot be expressed as a power of 3

• Because 9 squared equals 81, which is not useful

What base is ultimately chosen to rewrite the equation?

• Base 5

• Base 3

• Base 4

• Base 2

What property is applied to solve the equation after rewriting it with a common base?

• Distributive property

• Associative property

• Identity property

• Commutative property

What is the final value of X after solving the equation?

• X = 2

• X = 3

• X = 4

• X = 1