Solving an equation by converting exponents to the same base

The video tutorial covers solving exponential equations using the equality property, focusing on rewriting numbers with the same base and applying the power of a power rule. It demonstrates solving an equation by simplifying expressions and using the distributive property. The tutorial concludes with an introduction to logarithms and converting them to exponential form.

What is the equality property of exponents?

• If two expressions have the same base, their exponents must be equal.

• If two expressions have the same base, their exponents must be different.

• If two expressions have different bases, their exponents must be different.

• If two expressions have different bases, their exponents must be equal.

How can the number 9 be rewritten as a power of 3?

• 3 to the power of 4

• 3 to the power of 2

• 3 to the power of 3

• 3 to the power of 1

What is the power of a power rule?

• A to the M raised to the N equals A to the M + N

• A to the M raised to the N equals A to the M - N

• A to the M raised to the N equals A to the M / N

• A to the M raised to the N equals A to the M * N

What is the solution to the equation: -2X + 10 = 18X - 30?

• X = 4

• X = 2

• X = 1

• X = 3

How can the logarithmic expression log base 3 of 243 = 5 be written in exponential form?

• 5^3 = 243

• 3^5 = 243

• 3^243 = 5

• 243^3 = 5