Evaluating Logarithmic Expressions

This video tutorial covers the properties of logarithms, including the power, product, and quotient rules. It provides examples of how to apply these rules to simplify logarithmic expressions. The tutorial also includes complex examples to demonstrate the application of these rules in more challenging problems.

What does the power rule in logarithms allow you to do?

• Move the exponent to the front of the logarithm

• Divide two logarithms

• Multiply two logarithms

• Combine logarithms of the same base

According to the product rule, what is log(a) * log(b) equivalent to?

• log(a * b)

• log(a - b)

• log(a + b)

• log(a) + log(b)

How is the quotient rule for logarithms expressed?

• log(a / b) = log(a) + log(b)

• log(a / b) = log(a) - log(b)

• log(a / b) = log(a) * log(b)

• log(a / b) = log(a) / log(b)

What is the simplified form of log base 5 of 5 raised to the 7?

• 7

• 35

• 5

• 1

How many times do you multiply 2 to get 8, according to log base 2 of 8?

• 4

• 2

• 3

• 8

What is the result of log base 2 of 16 times 8?

• 8

• 7

• 4

• 12

What does log base 3 of 27 plus log base 3 of 81 equal?

• 7

• 4

• 3

• 12

What is the outcome of log base 4 of 256 minus log base 4 of 64?

• 1

• 2

• 4

• 3

Simplify log base 2 of 128 over 8.

• 4

• 5

• 6

• 7

What is the final answer for log base 2 of 128 times 64 divided by 8 times 16 raised to the fifth power?

• 60

• 45

• 15

• 30