What is the inverse of-1/8 2^{2x-1}+3 ?

The inverse of-1/8 2^{2x-1}+3 is (ln(2(-8x+24)))/(2ln(2))

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inverse of-1/8 2^{2x-1}+3

inverse

- \frac{1}{8} 2^{2 x - 1} + 3

\frac{ln ( 2 ( - 8 x + 24 ) )}{2 ln ( 2 )}

Solution steps

y = - \frac{1}{8} \cdot 2^{2 x - 1} + 3

Replace

x

with

y

x = - \frac{1}{8} \cdot 2^{2 y - 1} + 3

Solve for

y, x = - \frac{1}{8} 2^{2 y - 1} + 3

\frac{ln ( 2 ( - 8 x + 24 ) )}{2 ln ( 2 )}

f (x) = - 4 - \frac{3}{4} x

f (x) = 3 sin (2 x - 1)

f (x) = \frac{x ^{2} - 9}{2 x ^{2}}

f (x) = 9 x^{2} - 13

\frac{5 - 2 X}{4 X - 2}

What is the inverse of-1/8 2^{2x-1}+3 ?
The inverse of-1/8 2^{2x-1}+3 is (ln(2(-8x+24)))/(2ln(2))