Exploring Properties of Logarithms

What is the result of adding log base 2 of 8 and log base 2 of 4?

• log base 2 of 12

• log base 2 of 32

• log base 2 of 16

• log base 2 of 8

What is the result when you add log base 2 of 8 and log base 2 of 4?

• 12

• 8

• 5

• 32

When subtracting two logarithms with the same base, what operation is performed on their arguments?

• Division

• Subtraction

• Multiplication

• Addition

What is the value of log base 3 of 81?

• 5

• 4

• 3

• 2

What is the result of log base 5 of 625 minus log base 5 of 5?

• log base 5 of 3

• log base 5 of 120

• log base 5 of 125

• log base 5 of 620

What operation is performed on the arguments of logarithms when they are subtracted?

• Division

• Subtraction

• Addition

• Multiplication

What does the change of base formula allow you to do?

• None of the above

• Divide bases

• Multiply bases

• Convert the base of a logarithm

What is the base used in the calculator for the change of base formula?

• Base 9

• Base 5

• Base 2

• Base 10

Using the change of base formula, what is the new base typically chosen for calculations?

• Base 2

• Base 9

• Base 10

• Base 5

Tags

CCSS.HSF-IF.C.8B

How do you solve the equation 5^(x-1) = 28 using logarithms?

• None of the above

• Use the change of base formula

• Multiply both sides by 5

• Add 1 to both sides

Tags

CCSS.HSF.BF.B.5