Question

the ph of a solution is a measure of how acidic it is. the greater the acidity, the lower the ph. the function \\(f(x) = -\log x\\) gives the ph of a solution, where \\(x\\) is the concentration of hydrogen ions, in moles per liter.

the graph of \\(f(x) = -\log x\\) is a reflection in the x-axis of the graph of \\(g(x) = \log x\\).

graph the ph function using the graphing utility. then answer the questions.
what is the ph of lemon juice that has a hydrogen ion concentration of 0.01 moles per liter?
the ph is .

Explanation:

Identify the transformation of the logarithmic function

Using the Logarithmic Function Transformations knowledge point

$$ f(x) = -g(x) \implies f(x) = -\log x $$

This represents a reflection across the \(x\)-axis.

Evaluate the pH value for the given concentration

Using the Logarithmic Functions knowledge point

$$
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Answer:

Question 1

The graph of \(f(x) = -\log x\) is a <blank>reflection in the x-axis</blank> of the graph of \(g(x) = \log x\).

Question 2

What is the pH of lemon juice that has a hydrogen ion concentration of 0.01 moles per liter?
The pH is <blank>2</blank>.