SOLUTION: what is the logarithmic function that passes through the points (18,4) and (144,10).
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Question 1061136: what is the logarithmic function that passes through the points (18,4) and (144,10).
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Description specified, "logarithmic" function.
Choose your base, maybe 10.
Let m be the slope for the LINE, but you would start with a line such as .
The format comes from rules for logarithms which can take the equation back to
------to this.
The two given points give this system:
You might work with the system in this arrangement:
Solve the system for these: .
Choosing to eliminate with the Elimination Method will give .
Using the log(144) & 10 equation, find , and that .
(REMEMBER, all of this is being done for base-ten):
Your logarithmic formula or FUNCTION f, is .
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