Logarithms Question
Hey guys, i’m trying to do this logarithm question here:
The value of a sculpture, £V, is modelled by the equation V = Ap^t, where A and p are constants and t is the number of years since the value of the painting was first recorded on 1st January 1960
The line I passes through the point (0,log10(20)) and (50,log10(2000))
b. Using your answer to part a or otherwise, find the values of A and p.
I’ve gotten to the point of equating the 2 equations like this:
1/25 t + log10 20 = t log10 p + log10 A
but i’m not sure how to eliminate the terms to find p and A
The value of a sculpture, £V, is modelled by the equation V = Ap^t, where A and p are constants and t is the number of years since the value of the painting was first recorded on 1st January 1960
The line I passes through the point (0,log10(20)) and (50,log10(2000))
b. Using your answer to part a or otherwise, find the values of A and p.
I’ve gotten to the point of equating the 2 equations like this:
1/25 t + log10 20 = t log10 p + log10 A
but i’m not sure how to eliminate the terms to find p and A
Reply 1
Original post by ramell
Hey guys, i’m trying to do this logarithm question here:
The value of a sculpture, £V, is modelled by the equation V = Ap^t, where A and p are constants and t is the number of years since the value of the painting was first recorded on 1st January 1960
The line I passes through the point (0,log10(20)) and (50,log10(2000))
b. Using your answer to part a or otherwise, find the values of A and p.
I’ve gotten to the point of equating the 2 equations like this:
1/25 t + log10 20 = t log10 p + log10 A
but i’m not sure how to eliminate the terms to find p and A
The value of a sculpture, £V, is modelled by the equation V = Ap^t, where A and p are constants and t is the number of years since the value of the painting was first recorded on 1st January 1960
The line I passes through the point (0,log10(20)) and (50,log10(2000))
b. Using your answer to part a or otherwise, find the values of A and p.
I’ve gotten to the point of equating the 2 equations like this:
1/25 t + log10 20 = t log10 p + log10 A
but i’m not sure how to eliminate the terms to find p and A
This is not right. I don't know why exactly you have equated two different quantities here.
From we take logs (with respect to base 10) to get .
Now use the data you have been provided. When you have giving therefore
Whereas when you have therefore
So you have two relations
Work out A,p from these.
(edited 1 year ago)
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