How do you find the inverse of # y=log_2 2x#?

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Answer 1 · 2018-05-03T09:31:43

#y=2^(x-1)#

When finding the inverse function of something, you have to switch the x and y around

ie #y=log_2(2x)# becomes #x=log_2(2y)#

Now all you have to do is to make y the subject

#x=log_2(2y)#

#2^x=2y#

#y=2^x/2#

#y=2^(x-1)#