Question

A. Explain why the point (100,2) is on the graph.

B. What is the x-intercept of the graph? Explain how you know.
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C. When will the graph meet the line y = 5? Explain how you know.

Answer 1

the log function is the "inverse" function of an exponential function

by definition
`log_(a) b = c` then
`a^(c) = b`

in this problem you have
`log_(10) 100`

thus what x solves this ?
`10^(x) = 100` the answer is
`10^(2)`

thus (100,2)

B) the x intercept is when y = 0

`10^(0) = 1`

x intercept at (1,0)

C) at 100, the curve will hit y = 5000

Explanation: