Need Math help exponents/logarithms word problem

In summary, the question is asking how long a gallon of milk will last at 30 degrees celcius, given that it lasts 192 hours at 0 degrees celcius and 42 hours at 22 degrees celcius. The possible solution involves fitting the data to a linear equation and determining the duration at 30 degrees celcius.
  • #1
larryq37
2
0

Homework Statement


A gallon of milk will last 192 hours at 0 degrees celcius, 42 hours at 22 degrees celcius, how long will it last at 30 degrees celcius?


Homework Equations





The Attempt at a Solution

 
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  • #2
What have you tried? You need to show some effort at a problem before anyone can help you. Them's the rules...
 
  • #3
Log (H) = 192 - Log (T)^x

Fits for the first data set, but doesn't fit the problem?

I'm confused and stuck?
 
  • #4
You have not given us the entire problem description. Apparently you are supposed to fit this data to some kind of function. Since you are given two points-- (0, 192) and (22, 42), one possibility is to fit this data to a linear equation.

If you are supposed to do this some other way, please specify what that way is.
 

FAQ: Need Math help exponents/logarithms word problem

What are exponents and logarithms?

Exponents and logarithms are mathematical operations that involve raising a number to a certain power or finding the power to which a number has been raised. Exponents are represented by superscripts, while logarithms are represented by the symbol "log".

How do I solve a word problem involving exponents and logarithms?

To solve a word problem involving exponents and logarithms, first read the problem carefully and identify the given information and what needs to be solved for. Then, use the appropriate exponent or logarithm rules to simplify the expression or equation and solve for the unknown variable.

What are some common applications of exponents and logarithms?

Exponents and logarithms are commonly used in various scientific and financial calculations, such as compound interest, population growth, and pH levels. They are also used in computer science and engineering for data compression and signal processing.

How can I check if my answer to an exponent or logarithm problem is correct?

To check if your answer is correct, you can use a calculator to evaluate the original expression or equation and compare it to your answer. You can also plug your answer back into the problem to see if it satisfies all the given conditions.

Are there any tips or tricks for solving exponent and logarithm problems?

One tip for solving exponent and logarithm problems is to remember the basic properties and rules, such as the power rule, product rule, and quotient rule. It is also helpful to practice with different types of problems to familiarize yourself with the concepts and improve your problem-solving skills.

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