anonymous
  • anonymous
how do you solve f(x)=2^3x+5 and how do you find f^-1 9x) ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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shadowfiend
  • shadowfiend
Use the log, Luke ;) Seriously though, when you see a variable in a power, you can use logs to pull it out. Since you're solving, set f(x) = 0 and get: \[0 = 2^{3x} + 5\] Now try to see if you can get that into a log form that makes sense.
anonymous
  • anonymous
what do i do after i get 2^3x = -5 ?
anonymous
  • anonymous
?

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shadowfiend
  • shadowfiend
Ok, so remember: \[a^b = c\] \[log_a c = b\]
shadowfiend
  • shadowfiend
Can you apply that above?
anonymous
  • anonymous
i'll try...
shadowfiend
  • shadowfiend
Hm... Wait... Hehehe. I have detected a problem! That requires the log of a negative number, which does not exist.
anonymous
  • anonymous
?
anonymous
  • anonymous
so what do i do then?
shadowfiend
  • shadowfiend
Just to double check, the equation is: \[f(x)=2^{3x}+5\] Right?
anonymous
  • anonymous
yeah
anonymous
  • anonymous
is that it? shouldn't there be more problem solving?
shadowfiend
  • shadowfiend
Can your answer have imaginary numbers?
anonymous
  • anonymous
it polly should my math teacher loves i
shadowfiend
  • shadowfiend
Hahaha. Well, the log of -5 is 0.698970004 + 1.36437635 i :p
anonymous
  • anonymous
ow and wow OK
shadowfiend
  • shadowfiend
Hehe. Yeah it's kind of nasty. If it were 2^(3x) - 5 instead of + 5 things would be a lot better.
anonymous
  • anonymous
thanx though--- awesome response math wizard (:
shadowfiend
  • shadowfiend
Oh that's not me. Amistre's not here at the moment but he's the wizard around here ;)
anonymous
  • anonymous
oh, wait how is the second part done?
anonymous
  • anonymous
f ^-1 (x)?
shadowfiend
  • shadowfiend
Post that as a separate question. I'm a bit rusty on function inverses :)
anonymous
  • anonymous
k

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