Understanding Logarithms for ACT Math

What is a logarithm in relation to exponents?

• A logarithm is a type of division.

• A logarithm is a type of multiplication.

• A logarithm is a type of fraction.

• A logarithm is the power to which a number must be raised to produce another number.

If log base 3 of 9 equals 2, what does this imply?

• 3 raised to the power of 9 equals 2.

• 2 raised to the power of 3 equals 9.

• 9 raised to the power of 3 equals 2.

• 3 raised to the power of 2 equals 9.

How do you determine the value of log base 2 of 64?

• By adding 2 to 64.

• By finding the power to which 2 must be raised to get 64.

• By dividing 64 by 2.

• By multiplying 2 by 64.

What is the purpose of the change of base rule in logarithms?

• To convert logarithms to a base of 1.

• To convert logarithms to a base of 2.

• To convert logarithms to a base of 10 for calculator use.

• To convert logarithms to a base of 5.

How would you calculate log base 4 of 8 using the change of base rule?

• By adding log of 4 to log of 8.

• By dividing log of 8 by log of 4.

• By multiplying log of 8 by log of 4.

• By dividing log of 4 by log of 8.