Tutorial - Evaluating a Log With Base 6

The video tutorial explains how to evaluate the logarithm of base 6 for the number 216. It begins by introducing the concept of logarithms and then explores the powers of six to find the solution. The tutorial demonstrates the calculation of 6 raised to the power of 3, which equals 216, and concludes by evaluating the logarithm without using a calculator, determining that the answer is 3.

What does a logarithm represent in terms of powers?

• The division of a number by its base.

• The sum of a series of numbers.

• The number of times a base is multiplied by itself to reach a given number.

• The difference between two numbers.

What is the result of 6 raised to the power of 2?

• 12

• 36

• 18

• 24

Which power of 6 equals 216?

• 4

• 2

• 3

• 5

How can you evaluate a logarithm without a calculator?

• By determining the power to which the base must be raised to get the number.

• By dividing the number by the base.

• By using a logarithm table.

• By guessing the power.

What is the final evaluated result of log base 6 of 216?

• 2

• 4

• 3

• 5