What is the power rule of logarithms

The video tutorial explains the power rule in logarithms, demonstrating how to manipulate exponents by moving them in front of the logarithm as a multiplication. It covers the equivalence of expressions involving exponents and logarithms, emphasizing the importance of understanding these properties. The tutorial concludes with a summary and a check to reinforce the learning.

What is the relationship between an exponent and a logarithm when the base is raised to a power?

• The exponent is subtracted from the logarithm.

• The exponent is divided by the logarithm.

• The exponent is multiplied by the logarithm.

• The exponent is added to the logarithm.

How can an exponent be expressed in relation to a logarithm according to the power rule?

• The exponent is placed in front of the logarithm as a multiplication.

• The exponent is written as a division with the logarithm.

• The exponent is added to the base.

• The exponent is ignored in the logarithm.

Which of the following is true according to the power rule of logarithms?

• p times log base x of m is equivalent to log base x of m raised to the p power.

• p times log base x of m is equivalent to log base x of m minus p.

• p times log base x of m is equivalent to log base x of m plus p.

• p times log base x of m is equivalent to log base x of m divided by p.

What is the significance of the power rule in logarithms?

• It allows the exponent to be added to the logarithm.

• It allows the exponent to be subtracted from the logarithm.

• It allows the exponent to be multiplied with the logarithm.

• It allows the exponent to be moved in front of the logarithm as a multiplication.

What is the next step after understanding the three properties of logarithms?

• Move on to a new topic.

• Review the properties with a check.

• Ignore the properties.

• Memorize the properties without understanding.