Solving Logarithmic Equations

The video tutorial guides students through solving a logarithmic equation by converting it into exponential form. It begins with an introduction to the problem-solving approach, explaining the one-to-one property and the need for conversion. The teacher demonstrates isolating the logarithm, converting it to exponential form, and solving the resulting equation. The lesson concludes with verifying the solution.

What are the two main methods discussed for solving logarithmic equations?

• Using the one-to-one property and converting to exponential form

• Using substitution and elimination

• Using graphing and factoring

• Using quadratic formula and completing the square

Why can't the one-to-one property be used in this scenario?

• Because there is more than one logarithm

• Because the logarithm is not isolated

• Because there is no logarithm set equal to another logarithm

• Because the base of the logarithm is not specified

What is the first step in converting a logarithmic equation to exponential form?

• Isolating the logarithm

• Changing the base of the logarithm

• Adding a constant to both sides

• Multiplying both sides by a constant

What must be done before writing a logarithmic equation in exponential form?

• The logarithm must be isolated

• The variable must be solved for

• The equation must be simplified

• The base must be changed

What is the result of converting log base 3 of n plus 3 equals 0 to exponential form?

• 3^n = 3 + 0

• n^3 = 0 + 3

• 3^n = 0 + 3

• 3^0 = n + 3

What is the value of any number raised to the power of zero?

• The number itself

• One

• Negative one

• Zero

After converting to exponential form, what is the next step to solve for n?

• Subtract 3 from both sides

• Multiply both sides by 3

• Divide both sides by 3

• Add 3 to both sides