Understanding Logarithmic Scales

The video tutorial explains how to determine the value of points on a logarithmic scale, focusing on a common log scale where each tick mark represents a power of 10. It covers the calculation of values for points A, B, C, and D on the scale, converting exponential equations to logarithmic form, and understanding the relationship between the exponent and the common log of X.

What does each tick mark represent on a logarithmic scale?

• A power of 10

• A power of 20

• A power of 2

• A power of 5

What is the value of Point A in exponential form?

• 10^1

• 10^3

• 10^0

• 10^-3

How can the value of Point A be expressed as a fraction?

• 1/10000

• 1/1000

• 1/10

• 1/100

What is the equivalent logarithmic equation for Point A?

• log base 10 of x equals 3

• log base 10 of x equals 0

• log base 10 of x equals -3

• log base 10 of x equals 1

Where is Point B located on the logarithmic scale?

• Between 10^-1 and 10^0

• Between 10^1 and 10^2

• Between 10^-2 and 10^-1

• Between 10^0 and 10^1

What is the decimal approximation of Point B?

• 0.1

• 0.5

• 0.001

• 0.3162

What is the value of Point C in exponential form?

• 10^4

• 10^2

• 10^1

• 10^3

What is the equivalent logarithmic equation for Point C?

• log base 10 of x equals 4

• log base 10 of x equals 3

• log base 10 of x equals 2

• log base 10 of x equals 1

Where is Point D located on the logarithmic scale?

• Between 10^1 and 10^2

• Between 10^0 and 10^1

• Between 10^3 and 10^4

• Between 10^2 and 10^3

What is the decimal approximation of Point D?

• 3,162.2777

• 1,000

• 100

• 10