Laws of Logarithms

Question 1

Which is the product law of logarithms?

• Alog base b of xy equals log base b of x plus log base b of y
• Blog base b of xy equals log base b of x minus log base b of y
• Clog base b of xy equals log base b of x times log base b of y
• Dlog base b of xy equals log base b of x divided by log base b of y

Question 2

Which is the quotient law of logarithms?

• Alog base b of x/y equals log base b of x plus log base b of y
• Blog base b of x/y equals log base b of x minus log base b of y
• Clog base b of x/y equals log base b of xy
• Dlog base b of x/y equals log base b of x times log base b of y

Question 3

Which is the power law of logarithms?

• Alog base b of x to power n equals log base b of x plus n
• Blog base b of x to power n equals n times log base b of x
• Clog base b of x to power n equals log base b of x divided by n
• Dlog base b of x to power n equals x times log base b of n

Question 4

Which is the change-of-base formula for log base b of x?

• Alog base a of b divided by log base a of x
• Blog base a of x divided by log base a of b
• Clog base b of a divided by log base x of a
• Dlog base a of x multiplied by log base a of b

Question 5

Simplify log base 2 of 18 minus log base 2 of 9.

• A0
• B1
• C2
• D3