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Popular >

inverse of f(x)=1+(1/2)^x

Solution

inverse

f (x) = 1 + (\frac{1}{2})^{x}

Solution

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

Solution steps

y = 1 + (\frac{1}{2})^{x}

Replace

x

with

y

x = 1 + (\frac{1}{2})^{y}

Solve for

y, x = 1 + (\frac{1}{2})^{y}

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

Popular Examples

inverse of 5/(4+x^2)inverse

\frac{5}{4 + x ^{2}}

inverse of f(x)=3(2+x)inverse

f (x) = 3 (2 + x)

inverse of g(x)=x 1/2 inverse

g (x) = x \frac{1}{2}

inverse of f(x)=(11)/(x+12)inverse

f (x) = \frac{11}{x + 12}

inverse of ln(-23006138)inverse

ln (- 23006138)

Frequently Asked Questions (FAQ)

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