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Popular >

inverse of y=2^{x-1}

Solution

inverse

y = 2^{x - 1}

Solution

\frac{ln ( x )}{ln ( 2 )} + 1

Solution steps

y = 2^{x - 1}

Replace

x

with

y

x = 2^{y - 1}

Solve for

y, x = 2^{y - 1}

\frac{ln ( x )}{ln ( 2 )} + 1

Popular Examples

domain of x/(|x-2|)domain

\frac{x}{∣ x - 2 ∣}

inverse of f(x)=((x-1))/((x-2))inverse

f (x) = \frac{( x - 1 )}{( x - 2 )}

vertices y=16x^2-24x+9 vertices

y = 16 x^{2} - 24 x + 9

distance (-4,0),(5,9)distance

(- 4, 0), (5, 9)

symmetry x^2-8x+15 symmetry

x^{2} - 8 x + 15

Frequently Asked Questions (FAQ)

What is the inverse of y=2^{x-1} ?
The inverse of y=2^{x-1} is (ln(x))/(ln(2))+1