Exploring Properties of Logarithms

If you multiply two numbers with the same logarithmic base, how do you express it?

• Subtraction of their logs

• Division of their logs

• Addition of their logs

• Logs remain unchanged

What is the result of log base b of 1?

• b

• 1

• 0

• Undefined

How do you solve a logarithmic equation with the same base?

• Set the arguments equal to each other

• Divide the arguments

• Subtract the arguments

• Multiply the arguments

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

• Calculate logarithms of any base on a standard calculator

• Simplify logarithms to any base

• Convert logarithms to exponential form

• Eliminate the base of a logarithm

How can you write the expression log base 2 of 14 minus log base 2 of 7 as a single logarithm?

• log base 2 of 21

• log base 2 of (14*7)

• log base 2 of (14+7)

• log base 2 of (14/7)

What is the result of simplifying log base 10 of 10 squared?

• 20

• 10

• 100

• 2

How do you express log base b of x^4 as a single logarithm?

• 4 log base b of x

• log base b of 4x

• log base 4 of bx

• log base b of x / 4

What is the simplified form of log base 10 of 100?

• 100

• 1

• 10

• 2

How do you expand log base 3 of (8x^2y)?

• log base 3 of 8 - log base 3 of x^2 - log base 3 of y

• log base 3 of 8 * x^2 * y

• log base 3 of 8x^2y

• log base 3 of 8 + log base 3 of x^2 + log base 3 of y

What is the result of evaluating log base 5 of 1/25 without a calculator?

• 2

• 25

• 1/25

• -2