Solving a simple equations with exponents

The video tutorial covers the property of equality in mathematical equations, emphasizing the need for consistent bases. It explains how to transform different bases to a common base and applies the power rule to solve equations. The tutorial also highlights the importance of these methods in tackling complex problems.

What is necessary for solving equations with exponents using the property of equality?

• The equation must be quadratic.

• The numbers must be prime.

• The bases must be the same.

• The exponents must be equal.

If you have an equation with different bases, what is a common strategy to solve it?

• Ignore the bases and solve for the exponent.

• Convert both bases to base 10.

• Rewrite the larger base as a power of the smaller base.

• Use logarithms to solve directly.

What is 8 expressed as a power of 2?

• 2^2

• 2^3

• 2^4

• 2^5

Which rule allows you to equate the exponents when the bases are the same?

• Power of Power Rule

• Power of a Quotient Rule

• Power of a Product Rule

• Property of Equality

What is the solution to the equation 2^x = 2^9?

• x = 6

• x = 9

• x = 12

• x = 3