Question

Find an equation in the format of f(x)=b^x given the point (2,e)

Answer 1

@ (2,e):
e=b^2
then: ln (e)=ln (b^2)
e=2 ln(b)
ln(b)=1/2 e
\[b=e ^{1/2}\]

Answer 2

now you know b, then:
\[f(x)=(e ^{1/2})^{x}=e ^{x/2}\]

Answer 3

I don't think that's right.

Answer 4

why not...?

Answer 5

We haven't used natural logs yet. That's the next section.

Answer 6

.... the answer is right - put the value of the given point (2,e)=> you'll have a true statement.

Answer 7

\[e = b^2 \implies \sqrt{e} = b\]

Answer 8

\[\implies f(x) = (\sqrt{e})^x\]

Answer 9

i thing you can use:
e=b^2
then taking squire root both sides:
b=e^(1/2)

Answer 10

Yes, that's right, I answered this already in another post.