Understanding Logarithmic Functions with Desmos

The video tutorial explains how to graph logarithmic functions using Desmos.com. It covers common logarithms, natural logs, and logs with different bases, including fractional bases. The tutorial provides step-by-step instructions for entering these functions into Desmos and addresses challenges with fractional bases, suggesting the use of the change of base formula for accuracy.

What is the base of the common logarithm when no base is specified?

• Base 2

• Base 10

• Base e

• Base 5

What is the base of the natural logarithm?

• Base 1

• Base e

• Base 2

• Base 10

How do you enter a logarithm with base 6 in Desmos?

• log(x)

• ln(x)

• log_10(x)

• log_6(x)

What key combination is used to enter an underscore in Desmos?

• Alt + Dash

• Ctrl + Dash

• Shift + Dash

• Shift + Underscore

What happens when you use projector mode in Desmos?

• The graph disappears

• The graph's thickness changes

• The graph's color changes

• The graph's scale changes

What issue arises when entering a logarithm with a fractional base in Desmos?

• The function is not supported

• The graph does not appear

• The base is not recognized

• The graph is not accurate

How can you accurately graph a logarithm with a fractional base in Desmos?

• Use the change of base formula

• Approximate the base

• Convert the fraction to a decimal

• Use a different graphing tool

What is the equivalent expression for log base 1/2 of x using the change of base formula?

• ln(x) / ln(2)

• ln(x) / ln(0.5)

• log(x) / log(0.5)

• log(x) / log(2)

Why might converting a fractional base to a decimal be problematic?

• It requires additional software

• It is too complex

• It can lead to rounding errors

• It is not supported by Desmos

What is a potential solution if Desmos does not support a specific logarithmic base?

• Use a different graphing tool

• Approximate the base

• Use the change of base formula

• Ignore the base