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Popular >

inverse of f(x)=2^{x-1}

Solution

inverse

f (x) = 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

range of x^2+2x-8 range

x^{2} + 2 x - 8

inverse of h(x)= 1/(x-1)inverse

h (x) = \frac{1}{x - 1}

extreme f(x)=-4x^3+6x^2-5 extreme points

f (x) = - 4 x^{3} + 6 x^{2} - 5

asymptotes of f(x)=2*3^{x-4}asymptotes

f (x) = 2 \cdot 3^{x - 4}

periodicity of f(x)= 5/3 sin(-(2pi)/3 x)periodicity

f (x) = \frac{5}{3} sin (- \frac{2 π}{3} x)

Frequently Asked Questions (FAQ)

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