What are the properties of logarithms

The video tutorial covers the basic properties of logarithms, explaining them by rewriting in exponential form. It discusses fundamental properties like log base a of 1 equals 0 and log base a of a equals 1. Advanced properties such as inverse and one-to-one properties are explored. The tutorial also explains the product, quotient, and power rules for logarithms, emphasizing their importance in solving problems. Practical examples are provided to demonstrate the application of these rules.

What is the result of log base a of 1?

• 1

• a^0

• 0

• a

If log base a of a raised to the X equals X, which property is being used?

• Power Property

• Inverse Property

• Quotient Property

• Product Property

What does the one-to-one property of logarithms state?

• Log base a of X times Y equals log base a of X plus log base a of Y

• Log base a of X divided by Y equals log base a of X minus log base a of Y

• Log base a of X raised to Y equals Y times log base a of X

• Log base a of X equals log base a of Y implies X equals Y

How is the product rule for logarithms expressed?

• Log base a of X times Y equals log base a of X plus log base a of Y

• Log base a of X plus Y equals log base a of X times log base a of Y

• Log base a of X divided by Y equals log base a of X minus log base a of Y

• Log base a of X raised to Y equals Y times log base a of X

Which rule states that log base a of X raised to Y equals Y times log base a of X?

• Inverse Rule

• Power Rule

• Quotient Rule

• Product Rule