Tutorial - Evaluating Logarithms Without a Calculator

The video tutorial explains how to evaluate a logarithm with base 5. It begins by introducing the concept of logarithms and explores the powers of 5. The tutorial then discusses the use of negative exponents to find values less than one. Finally, it demonstrates solving a logarithm problem by applying the concept of negative exponents, concluding that the answer is -1.

What is the main question being addressed when calculating log base 5 of 0.2?

• What number subtracted from 5 gives 0.2?

• What number added to 5 gives 0.2?

• What power of 5 results in 0.2?

• What number multiplied by 5 gives 0.2?

Why do we need to consider negative exponents when evaluating powers of 5?

• To find numbers equal to 5

• To find numbers greater than 5

• To find numbers less than 1

• To find numbers greater than 1

What is the result of 5 raised to the power of 0?

• 0

• 5

• 1

• 25

How is a number raised to a negative power expressed?

• As a decimal

• As a fraction

• As a reciprocal

• As a negative number

What is the decimal equivalent of 1/5?

• 0.25

• 0.2

• 0.5

• 0.1