How to use a table to graph logarithmic function

The video tutorial explains logarithmic functions, starting with a basic introduction and conversion between exponential and logarithmic forms. It discusses the domain and range of logarithmic functions, highlighting the issue with negative numbers. The tutorial evaluates specific logarithmic examples and demonstrates graphing these functions, emphasizing the impossibility of certain values and the resulting domain and range.

What does the logarithmic expression log base 2 of X represent in terms of exponential functions?

• X raised to the power of 2 equals Y

• 2 raised to the power of Y equals X

• Y raised to the power of 2 equals X

• 2 raised to the power of X equals Y

Why can't a logarithmic function have a negative number as its result?

• Because negative numbers are not real numbers

• Because no real number raised to a power can result in a negative number

• Because negative numbers are undefined in mathematics

• Because logarithms only work with positive integers

What is the domain of a logarithmic function like log base 2 of X?

• Negative infinity to positive infinity

• Zero to positive infinity

• Negative infinity to zero

• One to positive infinity

What is the result of log base 2 of 1?

• Undefined

• 0

• 1

• 2

Why is log base 2 of 0 considered undefined?

• Because 2 raised to any power cannot equal 0

• Because 0 is not a real number

• Because 0 is not in the domain of logarithmic functions

• Because 0 is an imaginary number