Solving Exponential Equations

This tutorial covers solving equations with powers on each side by using matching bases. It explains the concept of equality in equations and demonstrates how to solve for exponents by inspection when bases match. The tutorial also shows how to rewrite numbers as powers to create matching bases and how to drop exponents to solve equations. Key ideas include solving exponents by inspection, converting numbers to powers, and using matching bases to simplify equations.

What is the main focus of this tutorial?

• Solving equations with different bases

• Exploring linear equations

• Understanding powers with matching bases

• Learning about quadratic equations

Why is the equal sign important in an equation?

• It helps in solving quadratic equations

• It is used to separate variables

• It indicates that both sides of the equation are equal

• It shows that the equation is complex

If 3 equals x, what is the value of x?

• 4

• 2

• 1

• 3

In the equation 2^3 = 2^x, what is the value of x?

• 1

• 2

• 3

• 4

What is the value of x in the equation 2^x = 2^3?

• 4

• 3

• 2

• 1

What is the value of x in the equation 4^5 = 4^x?

• 5

• 4

• 3

• 6

What is the value of x in the equation 2^3 = 2^x?

• 4

• 1

• 2

• 3

How can you solve 3^x = 9 using matching bases?

• Rewrite 9 as 3^1 and set x = 1

• Rewrite 9 as 3^3 and set x = 3

• Rewrite 9 as 3^4 and set x = 4

• Rewrite 9 as 3^2 and set x = 2

How can you rewrite 9 to solve 3^x = 9?

• 9 as 3^4

• 9 as 3^1

• 9 as 3^3

• 9 as 3^2

What is the value of x in the equation 3^x = 9?

• 4

• 3

• 2

• 1