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anonymous
 one year ago
Find the inverse of y=log base2 (x5)+2.
anonymous
 one year ago
Find the inverse of y=log base2 (x5)+2.

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Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1first step swap x and y \[\huge\rm x =\log_2 (y5)+2\] now try to solve for y

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1move the 2 to the left side and then convert log to exponential form

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm getting stuck after 2^log base2 (y5) which is equal to y5

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1i'm sorry what do you mean by 2^log ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so yes technically it looks like this x+2 = y5 then x = y3.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.02 to the power of log_2 (y5) is equal to y  5 after raising 2 to each side

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1well you have to move 2 to the left side so subtract 2 both sides \[\huge\rm x =\log_2 (y5)+2\] \[\huge\rm x2=\log_2(y5)\] right ? now convert log to exponential form

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1dw:1439243974430:dw that's how you should convert log to exponential form

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1let me know if you have any question

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0inverse: switch x and y, solve for y log(base2)(x5)+2=y switch log(base2)(y5)+2=x subtract 2 from each side log(base2)(y5)=x2 raise each side to two to get ride of the log 2^(y5)=2^(x2) 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
 one year ago
Best ResponseYou've already chosen the best response.0But the thing is this solution is wrong

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Had this been correct it would had a inverse graph of the original equation.

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1good but i don't know ... why did you write 2^(y5) ?? it should be \[\huge\rm 2^{(x2)}= y5\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1now add 5 both sides ....

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh, 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
 one year ago
Best ResponseYou've already chosen the best response.1do you have options ?(answer choices ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I mean the graphs to check

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No, it is not MCQ. lol

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1oh okay gimme a sec i'll graph

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0uhhh. my graphing cal. is not showing that. lol I was correct the whole time and here we are.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Banged my head for 1 hr. on this stupidity lol

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1wait gimme a sec i'll use Ti84 ;P lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I prefer wolfram alpha although, there are some ranges which desmos fails to achieve. WA automatically adjusts the window according to the range. :D

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1ugh hmm desmos is better than T84... ;/

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yep but Wolfram Alpha senior to desmos as well :P

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thanks. Have a nice day !
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