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If you ever swam in a pool and your eyes began to sting and turn red, you felt the effects of an incorrect pH level. pH measures the concentration of hydronium ions and can be modeled by the function p(t) = −log10t. The variable t represents the amount of hydronium ions; p(t) gives the resulting pH level.
Water at 25 degrees Celsius has a pH of 7. Anything that has a pH less than 7 is called acidic, a pH above 7 is basic, or alkaline. Seawater has a pH just more than 8, whereas lemonade has a pH of approximately 3.
1. Create a graph of the pH function either by hand or using technology. Locate on your graph where the pH value is 0 and where it is 1.
the graph of the logarithmic function:
you have to make a symmetry, with respect to the x-axis
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Alright, from what I see, the t would be 0 and 1 correct? You just plug them in?
I'm not even sure how to graph with log honestly
it's not even the numbers, it's actually graphing it
the logarithmic graph, it is a standard graph, please keep in mind that log 1=0, so we get the point:
x=1, log 1=0, namely (1,0)
furthermore, doesn't exist logarithm of negative numbers, and the logarithm of a number which is less than 1 is a negative quantity
But you mentioned the graph being symmetrical? That kinda threw me off.
I'm not sure where the negative came from, it was there in what ever was given to me.
Okay. So x = 1. log = 0 which gives us y = 0 right? So there's a curve the happens to get to (1,0)
Where do I even go with this
please, the graph of logarithmic function is not symmetrical.
I said that in order to get the requested graph, you have to make a symmetry of my graph around the x-axis, namely:
alright so the red graph represents -log10(x) and the blue is p(x), where do we go with this?