Understanding Logarithms

What is the primary purpose of logarithms?

• To solve for the base in an equation

• To solve for the constant

• To solve for an exponent

• To solve for the coefficient

How would you express 2^x = 6 in logarithmic form?

• log base x of 2 equals 6

• log base 6 of 2 equals x

• log base 2 of x equals 6

• log base 2 of 6 equals x

What is a common logarithm?

• A logarithm with base 1

• A logarithm with base 5

• A logarithm with base 10

• A logarithm with base 2

If log base 9 of 81 equals 2, what is the exponential form?

• 2^9 = 81

• 9^2 = 81

• 81^2 = 9

• 9^81 = 2

Which property states that log base B of B equals 1?

• Quotient Property

• Product Property

• Identity Property

• Power Property

How do you express log base 8 of 2 in exponential form?

• 8^3 = 2

• 8^2 = 2

• 8^1/3 = 2

• 8^1/2 = 2

What is the value of log base 10 of 1000?

• 4

• 3

• 2

• 1

What is the result of log base 5 of 125?

• 1

• 2

• 3

• 4

What is the value of any number raised to the power of zero?

• 0

• Infinity

• 1

• The number itself

What is the logarithm of 1 in any base?

• 1

• 0

• The base itself

• Undefined