SOLUTION: find the equation of an exponential function y=b^x that passes through the point (2,1/4)
I plug in the values to the equation 4 = b^2, then change them to natural logs,
ln 1/
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Question 784644: find the equation of an exponential function y=b^x that passes through the point (2,1/4)
I plug in the values to the equation 4 = b^2, then change them to natural logs,
ln 1/4 = 2 ln b
am I on the right track?
Found 2 solutions by josgarithmetic, edjones:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
would have some general ordered pairs of points, (x,y) same as (x,b^x). If given the specific point, (2, 1/4), then fit this into the equation form as . What is b?
,
The simpler answer is
To finish, x might be any real number, which is why it seems best to choose the positive form of b.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
y=b^x (2,1/4)
x=2, y=1/4
b^2=1/4
b=+-(1/2)
.
Ed
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