Solving Exponential Equations with Like Bases

The video tutorial explains how to solve exponential equations without using logarithms by equating exponents when bases are the same. It covers three examples, demonstrating the application of exponent laws to manipulate and solve equations. The tutorial emphasizes understanding exponent properties and provides downloadable resources for further learning.

What can be done if two exponential expressions with the same base are set equal to each other?

• Set the coefficients equal

• Set the exponents equal

• None of the above

• Multiply the exponents

Which property of exponents is used when dividing like bases?

• Subtract the exponents

• Add the exponents

• Multiply the exponents

• Divide the exponents

Tags

CCSS.HSA.APR.A.1

In the equation 5^(3x) = 125, what is 125 expressed as a power of 5?

• 5^5

• 5^4

• 5^3

• 5^2

How do you solve for x in the equation 5^(3x) = 5^(-3)?

• x = 0

• x = -1

• x = 3

• x = 1

What is the base used in the second example?

• Base 2

• Base 3

• Base 10

• Base 8

Tags

CCSS.2.NBT.A.3

What is the simplified form of 2^(7x) * 2^3?

• 2^(7x+3)

• 2^(7x-3)

• 2^(21x)

• 2^(10x)

How is the number 256 related to base 2 in the equation?

• 2^7

• 2^8

• 2^6

• 2^9

In the final example, what base is common to both 64 and 16?

• Base 4

• Base 2

• Base 16

• Base 8

What is the value of x in the equation 2^(4x-12) = 2^0?

• x = 4

• x = 3

• x = 2

• x = 5

Which law of exponents is applied when you have a power raised to another power?

• Divide the exponents

• Multiply the exponents

• Subtract the exponents

• Add the exponents

Tags

CCSS.8.EE.A.1