Understanding Logarithmic Expressions

The video tutorial explores whether two logarithmic expressions are equivalent: log base 2 of 4 cubed and the cube of log base 2 of 4. It begins by evaluating log base 2 of 4 cubed using the power property of logarithms, resulting in a value of 6. Then, it evaluates the cube of log base 2 of 4, which results in a value of 8. The tutorial concludes that the two expressions are not equivalent, as verified by calculations.

What are the two expressions being compared in the video?

• log base 2 of 4 cubed and the cube of log base 2 of 4

• log base 3 of 4 cubed and the cube of log base 3 of 4

• log base 2 of 8 cubed and the cube of log base 2 of 8

• log base 4 of 2 cubed and the cube of log base 4 of 2

Which property of logarithms is used to simplify log base 2 of 4 cubed?

• Power property

• Change of base property

• Quotient property

• Product property

What is the value of log base 2 of 4?

• 2

• 4

• 1

• 3

What is the result of evaluating log base 2 of 4 cubed?

• 12

• 6

• 4

• 8

What is the result of the cube of log base 2 of 4?

• 4

• 6

• 8

• 10