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anonymous
 one year ago
Given f(x)=log11x, find f–1(x) and f–1(2).
anonymous
 one year ago
Given f(x)=log11x, find f–1(x) and f–1(2).

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[given f(x)=\log_{11} x, find f ^{1}(x) and f ^{1}(2)\]

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1u can use ~ for space

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1An inverse of logarithmic is going to be an exponential.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1\({\rm f}^{1}(x)\) is a notation for an inverse function.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh okay.. I suck at these to be honest

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Your function is: \(\large\color{black}{ \displaystyle f(x)=\log_{11}(x) }\) 1) replace f(x) with y. 2) switch x and y (write y instead of x, and write y instead of x) 3) {solve for/ isolate the} y.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1for the third step, you will need to know that \(\Large\color{black}{ \displaystyle \color{red}{\rm a}=\log_{\color{green}{\rm b}}(\color{blue}{\rm c}) ~~~~\Longrightarrow~~~~\color{green}{\rm b}^\color{red}{\rm a}=\color{blue }{\rm c} }\).

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1yes, for the first two steps, that is correct

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1now, apply the third step to that (to \(x=\log_{11}y\) )

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[11^{x}=y\] Like that? @SolomonZelman

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1then replcae y by \(f^{1}(x)\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1dw:1435782711063:dw

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1then for f\(^{1}\)(2) plug in 2 for x, into the last expression that I drew

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0where did you get the 2 from?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1you need \(f^{1}(2)\). that is your second part.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ohhh okay I got it now

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can you help me with another one? @SolomonZelman

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1ok, but I am helping another person right now... well I am attempting to help that person.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay.. I'll just open a new question.
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