Solving logarithmic equations

The video tutorial explains how to solve a logarithm equation involving a natural logarithm. It begins by isolating the logarithm, applying logarithmic rules to simplify the equation, and then rewriting it in exponential form. The tutorial demonstrates solving for X by taking the cube root and concludes with a summary of the process.

What is the first step in solving a logarithmic equation with a natural logarithm?

• Add a constant to both sides

• Isolate the logarithm

• Multiply both sides by the logarithm

• Divide both sides by the logarithm

How can the expression 3Ln(X) be rewritten using logarithmic rules?

• 3^Ln(X)

• Ln(X^3)

• Ln(3X)

• Ln(X) + 3

What is the exponential form of the equation Ln(X^3) = -2?

• X = E^(-2)

• E^3 = X^(-2)

• X^3 = E^2

• E^(-2) = X^3

What operation is needed to solve for X in the equation E^(-2) = X^3?

• Logarithm

• Fourth root

• Cube root

• Square root

What is the approximate value of X when E^(-2/3) is calculated?

• 0.51

• 1.51

• 5.1

• 0.15