Solving Exponential Equations Without Logarithms

This video tutorial demonstrates how to solve exponential equations without using logarithms. It covers four examples, starting with equations that have the same base and progressing to more complex scenarios involving different bases and exponents. The tutorial emphasizes the technique of equating exponents when bases are the same and converting numbers to a common base when they differ. The video concludes with a call to action for viewers to subscribe and visit the website for additional help.

What is the solution for x when the equation is 5^x = 5^6?

• x = 6

• x = 1

• x = 5

• x = 36

Which of the following equations demonstrates that the bases are the same on both sides?

• 2^x = 32

• 3^x = 81

• 7^(3x-4) = 49

• 5^x = 5^6

What technique is used to solve exponential equations without logarithms?

• Applying logarithmic properties

• Using a calculator

• Making the exponents equal

• Guessing and checking

What is the next step after setting the exponents equal in an equation with the same base?

• Multiply both sides by the base

• Convert to logarithmic form

• Divide both sides by the base

• Solve for x

How can 81 be represented as a power of 3?

• 3^5

• 3^4

• 3^3

• 3^2

What is the value of x when 3^(x-1) = 81?

• x = 3

• x = 5

• x = 4

• x = 6

Tags

CCSS.HSF.LE.A.4

To solve 2^x = 32, what exponent of 2 equals 32?

• 2^5

• 2^4

• 2^7

• 2^6

Tags

CCSS.HSF.BF.B.5

What is the solution for x in the equation 2^x = 32?

• x = 5

• x = 7

• x = 4

• x = 6

Tags

CCSS.HSF.LE.A.4

How is 49 expressed as a power of 7?

• 7^3

• 7^1

• 7^4

• 7^2

Tags

CCSS.6.EE.A.1

What is the value of x when 7^(3x-4) = 49?

• x = 4

• x = 3

• x = 2

• x = 1