Solving logarithmic equations

The video tutorial explains how to solve an equation involving logarithms and exponents. It begins by introducing the concept of rewriting logarithms in exponential form to solve for a variable. The instructor demonstrates the process of solving for X by undoing operations and calculating the result. An alternative method using properties of logarithms is also presented, showing how to achieve the same solution through different mathematical properties.

What is the first step in solving the problem using exponential form?

• Rewrite the expression in logarithmic form

• Rewrite the expression in exponential form

• Add 8 to both sides

• Subtract 8 from both sides

After rewriting the expression in exponential form, what operation is performed next?

• Take the square root of both sides

• Square both sides

• Multiply both sides by 10

• Divide both sides by 5

What is the final calculated value of X in the first method?

• 22,034.47

• 22,000.47

• 22,034.47

• 22,000.34

In the alternative method, what property of logarithms is used to simplify the expression?

• Power property

• Change of base property

• Quotient property

• Product property

What is the equivalent expression for Ln(X - 8) in the alternative method?

• Ln(X - 8) = 10

• Ln(X - 8) = 5

• Ln(X - 8) = 1/2

• Ln(X - 8) = 2