Evaluating a Logarithm of a Fraction

The video tutorial explains how to solve division problems using logarithms. It begins by introducing the concept of logarithms and their properties, such as the zero power rule. The instructor demonstrates how to rewrite division problems as multiple logarithms using subtraction. Examples are provided to illustrate the process, including solving logarithms with base 5. The tutorial concludes with verification of solutions and a recap of the key concepts discussed.

How can division problems be simplified using logarithms?

• By using addition

• By using division

• By using multiplication

• By using subtraction

What is the value of any logarithm of one?

• Infinity

• One

• Zero

• Negative one

What is the result of log base 5 of 125?

• 3

• 2

• 5

• 4

How can a negative exponent be rewritten?

• As zero

• As a negative number

• As a fraction with a positive exponent

• As a positive exponent

What is the value of 5 raised to the power of 3?

• 15

• 25

• 125

• 625