Solve an exponential equation using the properties of logs

The video tutorial explains the concept of E raised to the natural logarithm (Ln) and how it simplifies to the value inside the logarithm. It demonstrates solving the equation 2X = 12 to find X = 6, emphasizing the rule that E to the Ln of X equals X. The tutorial highlights the importance of recognizing this rule in problem-solving and concludes with a review of the key points discussed.

What is the result of E raised to the natural logarithm of a number?

• Infinity

• Negative of the number

• The number itself

• Zero

If 2X equals 12, what is the value of X?

• 3

• 6

• 12

• 24

What is the simplified form of E raised to the Ln of 5?

• 10

• Ln

• E

• 5

Which of the following is true about E raised to the Ln of a value?

• It equals zero

• It equals the value inside the logarithm

• It equals E

• It equals the square of the value

What should you remember when solving problems involving E and Ln?

• E to the Ln of X equals X squared

• E to the Ln of X equals E

• E to the Ln of X equals zero

• E to the Ln of X equals X