anonymous
  • anonymous
Find the inverse of y=log base2 (x-5)+2.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Nnesha
  • Nnesha
first step swap x and y \[\huge\rm x =\log_2 (y-5)+2\] now try to solve for y
Nnesha
  • Nnesha
move the 2 to the left side and then convert log to exponential form
anonymous
  • anonymous
I'm getting stuck after 2^log base2 (y-5) which is equal to y-5

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Nnesha
  • Nnesha
i'm sorry what do you mean by 2^log ?
anonymous
  • anonymous
so yes technically it looks like this x+2 = y-5 then x = y-3.
anonymous
  • anonymous
2 to the power of log_2 (y-5) is equal to y - 5 after raising 2 to each side
Nnesha
  • Nnesha
well you have to move 2 to the left side so subtract 2 both sides \[\huge\rm x =\log_2 (y-5)+2\] \[\huge\rm x-2=\log_2(y-5)\] right ? now convert log to exponential form
Nnesha
  • Nnesha
the*
Nnesha
  • Nnesha
|dw:1439243974430:dw| that's how you should convert log to exponential form
Nnesha
  • Nnesha
let me know if you have any question
anonymous
  • anonymous
I solved like this
anonymous
  • anonymous
inverse: switch x and y, solve for y log(base2)(x-5)+2=y switch log(base2)(y-5)+2=x subtract 2 from each side log(base2)(y-5)=x-2 raise each side to two to get ride of the log 2^(y-5)=2^(x-2) simplify 2^y+0.03125=2^x+.25 subtract 0.03125 from each side 2^y=2^x+.28175 take log base two of each side to bring y down y=log(base 2)(2^x+.28175)
anonymous
  • anonymous
But the thing is this solution is wrong
anonymous
  • anonymous
Had this been correct it would had a inverse graph of the original equation.
Nnesha
  • Nnesha
good but i don't know ... why did you write 2^(y-5) ?? it should be \[\huge\rm 2^{(x-2)}= y-5\]
Nnesha
  • Nnesha
now add 5 both sides ....
anonymous
  • anonymous
oh, that's what I was referring to in the start of this thread but still my solution is not coming up after applying that.
Nnesha
  • Nnesha
do you have options ?(answer choices ?
anonymous
  • anonymous
I mean the graphs to check
anonymous
  • anonymous
No, it is not MCQ. lol
Nnesha
  • Nnesha
oh okay gimme a sec i'll graph
Nnesha
  • Nnesha
okay just asking ;P
Nnesha
  • Nnesha
http://prntscr.com/835itz
anonymous
  • anonymous
uhhh. my graphing cal. is not showing that. lol I was correct the whole time and here we are.
anonymous
  • anonymous
Banged my head for 1 hr. on this stupidity lol
anonymous
  • anonymous
Desmos, right ?
Nnesha
  • Nnesha
yes
Nnesha
  • Nnesha
wait gimme a sec i'll use Ti-84 ;P lol
anonymous
  • anonymous
I prefer wolfram alpha although, there are some ranges which desmos fails to achieve. WA automatically adjusts the window according to the range. :-D
Nnesha
  • Nnesha
ugh hmm desmos is better than T-84... ;/
anonymous
  • anonymous
yep but Wolfram Alpha senior to desmos as well :P
Nnesha
  • Nnesha
true
Nnesha
  • Nnesha
good luck! :=)
anonymous
  • anonymous
Thanks. Have a nice day !
Nnesha
  • Nnesha
stupid typos -.-
anonymous
  • anonymous
rofl !!!

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