Exploring Exponential Equations in Algebra 1

This video tutorial covers solving exponential equations using various methods. It begins with solving equations with the same base, explaining the property of equality. The tutorial then demonstrates solving equations by rewriting them with a common base, including examples with bases between zero and one. Finally, it explores solving exponential equations through graphing, highlighting cases with no solutions.

What is the property of equality for exponential equations?

• Two powers with the same base are equal if their exponents are equal.

• Two powers with different bases are equal if their exponents are equal.

• Two powers with the same base are equal if their bases are equal.

• Two powers with different bases are equal if their bases are equal.

In the equation 3^(x+1) = 3^5, what is the value of x?

• 5

• 4

• 3

• 6

How can you rewrite 6 = 6^(2x-3) to solve for x?

• 6^1 = 6^(2x-3)

• 6^3 = 6^(2x-3)

• 6^0 = 6^(2x-3)

• 6^2 = 6^(2x-3)

What is the value of x in the equation 10^(3x) = 10^(2x+3)?

• 1

• 2

• 3

• 4

How can you rewrite 5^x = 125 to solve for x?

• 5^x = 5^2

• 5^x = 5^5

• 5^x = 5^3

• 5^x = 5^4

In the equation 4^x = 2^(x-3), what common base can be used?

• 2

• 3

• 4

• 5

What is the value of x in the equation 9^(x+2) = 27^x?

• 3

• 2

• 5

• 4

How can you rewrite 1/2^x = 4 to solve for x?

• 2^x = 2^3

• 2^(-x) = 2^3

• 2^(-x) = 2^2

• 2^x = 2^2

What is the value of x in the equation 4^(x+1) = 1/64?

• -5

• -4

• -3

• -2

How can you solve the equation 1/2^(x-1) = 7 using graphing?

• Find the point where y = 1/2^(x-1) intersects y = 0.

• Find the point where y = 1/2^(x-1) intersects y = 7.

• Find the point where y = 1/2^(x-1) intersects y = x.

• Find the point where y = 1/2^(x-1) intersects y = 1.