Exponential Inequalities and Powers

The video tutorial explains how to solve an exponential inequality by simplifying the expression and finding the value of X. It begins by removing the coefficient through division, then calculates the powers of 3 to determine the value of X that satisfies the inequality. The solution shows that X is greater than 4.

What is the first step in simplifying the given exponential inequality?

• Divide both sides by 10

• Subtract 10 from both sides

• Multiply both sides by 10

• Add 10 to both sides

After dividing both sides by 10, what does the inequality become?

• 3^x is equal to 81

• 3^x is less than 81

• 3^x is greater than 81

• 3^x is greater than 810

What operation is used to simplify the inequality after removing the coefficient?

• Multiplication

• Subtraction

• Addition

• Division

How can we express 81 as a power of 3?

• 3^4

• 3^3

• 3^5

• 3^2

What is the value of x that satisfies the inequality 3^x > 81?

• x is greater than 5

• x is greater than 4

• x is greater than 3

• x is greater than 2

Which of the following is equivalent to 3^4?

• 27

• 9

• 243

• 81