Logarithmic Properties and Rules

This video tutorial covers essential logarithm formulas and properties, including how to expand, condense, and convert logarithmic expressions. It explains special logarithm values, the change of base formula, and the differences between common and natural logarithms. The video also provides information on additional resources and practice problems to help students prepare for tests on logarithms.

Which formula represents the product rule for logarithms?

• log A = log B

• log(A^B) = B log A

• log(A / B) = log A - log B

• log(A * B) = log A + log B

What is the quotient rule for logarithms?

• log A = log B

• log(A^B) = B log A

• log(A / B) = log A - log B

• log(A * B) = log A + log B

How can you express log(A^B) using the power rule?

• log(A^B) = log A + log B

• log(A^B) = log A - log B

• log(A^B) = A log B

• log(A^B) = B log A

What is the value of log base 5 of 1?

• 1

• 0

• Undefined

• 5

If log base a of a equals 1, what does a raised to the log base a of b equal?

• 0

• 1

• b

• a

How do you convert log base a of b equals c to exponential form?

• a^b = c

• b^a = c

• a^c = b

• c^a = b

What is the change of base formula for log base a of b?

• log b - log a

• log a * log b

• log a / log b

• log b / log a

What is the base of a natural logarithm?

• 5

• e

• 10

• 2

If no base is specified for a logarithm, what is the assumed base?

• 2

• 5

• e

• 10

Which of the following is true for both common and natural logarithms?

• They are used interchangeably.

• They are always base 10.

• They follow the same logarithmic rules.

• They have the same base.