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

Answer:

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

Step-by-step explanation: