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Answer :

SOLUTION

The fuction graphed is

[tex]y=\text{log}_{10}x[/tex]

Part A

The point

[tex](100,2)[/tex]

Is located on the graph beause the graph passes through the point, hence thier is need to locaye it on the graph.

Part C

For we to know when the meet y=5, we substitute 5 for y in the given equation and obatain the value of y.

[tex]\begin{gathered} y=\log _{10}x \\ \text{put }y=5 \\ \text{Then} \\ \log _{10}x=5 \end{gathered}[/tex]

Simplify by changing to indices, we have

[tex]\begin{gathered} \log _{10}x=5 \\ x=10^5 \\ x=100\text{ 000} \end{gathered}[/tex]

Hence

The graph will meet the line y=5 when x =100 000