The equation of the logarithmic function is y = log(x - 1)
The points are given as:
(0,3) and (2,0)
The equation is represented as:
y = A log(x + B)
Substitute (2,0) in y = A log(x + B)
y = A log(x + B)
This means that:
0 = A log(2 + B)
This means that:
A = 0 or log(2 + B) = 0
Take the antilog of both sides of log(2 + B) = 0
2 + B = 1
Solve for B in 2 + B = 1
B = -1
Substitute B = -1 in y = A log(x + B)
y = A log(x - 1)
Substitute (0,3) in y = A log(x - 1)
3 = A log(0 - 1)
So, we have:
3 = A log(-1)
The above equation is undefined.
Hence, the equation of the logarithmic function is y = log(x - 1)
Read more about logarithmic functions at:
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Complete question
Write an expression, of the type A log(x + B), for the transformed logarithmic function shown below:
(0,3) and (2,0)
