Understanding Logarithm Properties

What is the result when a number is raised to the power of a logarithm with the same base?

• The reciprocal of the base

• The exponent of the logarithm

• The base of the logarithm

• The argument of the logarithm

What is the purpose of matching the base of the logarithm with the base number in the property discussed?

• To simplify the expression

• To increase the exponent

• To make the base larger

• To change the argument

In the expression log base 10 of X equals 3, what is the value of X?

• 10

• 1,000

• 100

• 10,000

How do you express 10 raised to the power of 3 in terms of logarithms?

• log base X of 10

• log base 3 of 10

• log base 10 of X

• log base 10 of 3

What is the base in the expression log base 10 of X?

• X

• 10

• 3

• 100

What is the value of X in the expression log base 3 of X equals 4?

• 64

• 27

• 243

• 81

How is 3 raised to the 4th power expressed in terms of logarithms?

• log base X of 3

• log base 3 of 4

• log base 4 of 3

• log base 3 of X

What does the expression log base 3 of 81 equal?

• 3

• 2

• 5

• 4

What is the result of 3 multiplied by itself four times?

• 27

• 243

• 64

• 81

What is the argument in the expression log base 3 of X?

• 4

• 3

• 81

• X