Solving a logarithmic equation in two different ways

The video tutorial explains how to solve logarithmic equations by either converting them to exponential form or using one-to-one properties. The instructor demonstrates isolating the variable by dividing by 6 and then converting the equation to exponential form. The final steps involve simplifying the equation by multiplying by two to find the solution.

What are the two main methods for solving logarithmic equations mentioned in the video?

• Substitution and elimination

• Using quadratic formula and completing the square

• Converting to exponential form and using one-to-one properties

• Graphing and factoring

When converting a logarithmic equation to exponential form, what is the base used in the example?

• Base 5

• Base 10

• Base 3

• Base 2

What mathematical property is used to cancel out the logarithm when exponentiating each side?

• Distributive property

• Inverse property

• Commutative property

• Associative property

What is the equivalent operation to dividing by 0.5 when isolating the variable?

• Multiplying by 0.5

• Dividing by 2

• Multiplying by 2

• Subtracting 0.5

How does the teacher suggest handling the division by 1/2 in the final steps?

• By subtracting 1/2

• By adding 1/2

• By dividing by 1

• By multiplying by the reciprocal