How do you solve an exponential equation with e as the base

The video tutorial explains how to solve logarithmic equations by converting them into exponential form and using properties of logarithms. It covers two methods: rewriting the equation in exponential form and taking the natural logarithm of both sides. The tutorial emphasizes the importance of choosing the correct base for logarithms and demonstrates solving for X using a calculator. The session concludes with a Q&A segment.

What is the first step in solving the equation log base E of 12 = 3X?

• Multiply both sides by 3

• Subtract 12 from both sides

• Take the square root of both sides

• Rewrite it in exponential form

When taking the natural logarithm of both sides, what property allows you to move the exponent in front?

• Quotient Rule

• Power Rule

• Product Rule

• Change of Base Formula

What is the value of Ln(E)?

• 12

• 0

• E

• 1

How do you find the approximate value of X after simplifying the equation?

• Add 3 to Ln(12)

• Divide Ln(12) by 3

• Subtract 3 from Ln(12)

• Multiply Ln(12) by 3

What is the approximate value of X in the equation log base E of 12 = 3X?

• 12.3

• 3.12

• 1.23

• 0.83