When proving the product, quotient, or power rule of logarithms, various properties of logarithms and exponents must be used.
1 answer:
When proving the properties of logarithms when exponents must be used, the property that is used in all of these is D.
When proving any property of logarithms that have to do with exponents, one property that should always be used is .
Expressing y as a product of is the most basic property of using exponents on logs because it has both product, quotient, and power rules of logarithms.
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Answer:
Constant of proportionality:
Equation:
Step-by-step explanation:
By definition, Direct proportion equations have the following form:
Where "k" is the Constant of proportionality.
In this case, let be "c" the the amount of caffeine consumed (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.
So, the equation that represents this relationship will have this form:
Then, the first step is to find the Constant of proportionality "k".
Knowing that:
We can substitute values into the equation:
Now, solving for "k", we get:
Therefore, we can write the following equation that represents that proportional relationship: