Question

can anyone help me get the inverse of this equation... y=2^0.25x-4 +4

Answer 1

Like any such problem, you have y = f(x). Solve the equation for x and find the function g such that
x = g(y).

That function g will be your inverse.

Answer 2

do i do the log since 0.25x-4 is an exponent?

Answer 3

Yes. You're starting with
\[ y = 2^{(x/4) -4} +4 \]
hence
\[ 2^{(x/4) -4} = y -4 \]

Now take the log of both sides.

Answer 4

i'm stuck at logx-log4=0.25log2-log16

Answer 5

Starting with my last equation, taking the natural log of both sides,
\[ ((x/4) - 4) \ln 2 = \ln (y-4) \]

Now, hopefully you can solve that equation for x?