Master Evaluating Simple Logarithmic Expressions

This video tutorial explains how to evaluate logarithms without using a calculator. It begins with an introduction to logarithmic expressions and their exponential form. The instructor provides simple examples, such as log base 2 of 4, and progresses to more complex cases, like log base 6 of 216. Special cases, such as any number raised to the zero power equaling one, are also discussed. The tutorial emphasizes understanding the relationship between logarithms and exponents to solve problems effectively.

What does the expression log base B of A represent?

• The sum of B and A

• The number B raised to the power of A

• The number A raised to the power of B

• The power to which B must be raised to get A

If log base 2 of 4 equals X, what is the value of X?

• 2

• 4

• 1

• 3

How can you express log base 3 of 9 in exponential form?

• 3^2 = 9

• 9^3 = 27

• 3^3 = 27

• 9^2 = 81

What is the value of log base 4 of 64?

• 5

• 4

• 2

• 3

Which of the following is true for log base 2 of 32?

• 2^6 = 32

• 2^3 = 32

• 2^4 = 32

• 2^5 = 32

What is the result of log base 7 of 1?

• 7

• 0

• 1

• -1

For log base 11 of 11, what is the exponent?

• 11

• 1

• 2

• 0