How to expand a logarithmic expression with two terms

The video tutorial explains how to expand logarithms, focusing on division and exponent rules. It starts by showing how division in logarithms can be rewritten as subtraction of two logarithms. The tutorial then discusses the assumption of base 10 when no base is specified. Finally, it covers how to handle exponents in logarithms by moving the exponent in front as a product, concluding with the final expanded form.

What is the result of expanding log(a/b)?

• log(a) + log(b)

• log(a) - log(b)

• log(a * b)

• log(a) / log(b)

What is the expanded form of log(100/x)?

• log(100) / log(x)

• log(100) + log(x)

• log(100) - log(x)

• log(100 * x)

If no base is specified in a logarithm, what base is typically assumed?

• Base 10

• Base e

• Base 2

• Base 5

How can you rewrite log(x^n) using the properties of logarithms?

• log(n * x)

• log(n) + log(x)

• log(x) / n

• n * log(x)

Which of the following is true for log(x^3)?

• log(x) / 3

• log(3x)

• log(x) + 3

• 3 * log(x)