Tutorial - Evaluating Logarithms Without a Calculator

The video tutorial covers fundamental mathematical properties, including multiplication by zero, where any number multiplied by zero results in zero. It also explains logarithmic properties, particularly how the logarithm of one with any base equals zero. Additionally, it discusses exponents, emphasizing that any number raised to the zero power equals one. The tutorial concludes with evaluating logarithms, reinforcing that the logarithm of one, regardless of the base, results in zero.

What is the result of multiplying any number by zero?

• The number itself

• Zero

• Infinity

• One

What is the logarithm of one with any base?

• Undefined

• The base itself

• Zero

• One

If 9 is raised to what power equals one?

• Nine

• Zero

• One

• Negative one

What is the result of raising any number to the power of zero?

• Undefined

• One

• The number itself

• Zero

Which of the following is true about the exponent zero?

• It results in zero

• It results in the base number

• It results in one

• It results in infinity