Question

100 POINTS

Choose ONE of the following questions to answer in the box below:
1) Why is point (100, 2) on the graph?
2) What is the x-intercept of the graph? Explain how you know.
3) When will the graph meet the line y = 5 ? Explain how you know.

Answer 1

Step-by-Explanation:

Answer 2

See below

Explanation:

Given function:

• y = log₁₀ (x)

Questions

1) Why is point (100, 2) on the graph?

Because:

• log₁₀ (100) = log₁₀ (10²) = 2 log₁₀ (10) = 2

2) What is the x-intercept of the graph? Explain how you know.

The x-intercept is the value of x when y = 0:

• log₁₀ (x) = 0
• x = 10⁰
• x = 1

The x-intercept is (1, 0)

3) When will the graph meet the line y = 5 ? Explain how you know.

• log₁₀ (x) = 5
• x = 10⁵
• x = 100000

When x = 100000