anonymous
  • anonymous
Given the function f(x) = 3^(x), find the value of f^(-1)(81).
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
We need the inverse again. Remember how?
anonymous
  • anonymous
y = 3^x x = 3^y Solve for y from here.
anonymous
  • anonymous
What are your answer choices I am getting something weird

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anonymous
  • anonymous
f^(-1)(81) = 1 f^(-1)(81) = 2 f^(-1)(81) = 3 f^(-1)(81) = 4
anonymous
  • anonymous
so would it just be C?
anonymous
  • anonymous
I get inverse = \[\frac{ \ln (x) }{ \ln (3) }\]
anonymous
  • anonymous
\[\frac{ \ln (81) }{ \ln (3) }\]
anonymous
  • anonymous
i'm kind of confused as to how you got that
anonymous
  • anonymous
hold on one second
anonymous
  • anonymous
okie dokie
anonymous
  • anonymous
to be honest, I just checked it on an inverse calculator and that's what i got, so
anonymous
  • anonymous
I think the answer will be 4. I put in ln81 and got 4.39444915467 and ln3 and got 1.09861228867 Divide them: 4.39444915467/1.09861228867 = 3.999999 So 4
anonymous
  • anonymous
Hope that is ok...
anonymous
  • anonymous
ah okay i see what you did now
anonymous
  • anonymous
ok cool

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