What is the inverse of f(x)=100*2^{x/2} ?

The inverse of f(x)=100*2^{x/2} is (2ln(x/(100)))/(ln(2))

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inverse of f(x)=100*2^{x/2}

inverse

f (x) = 100 \cdot 2^{\frac{x}{2}}

\frac{2 ln ( \frac{x}{100} )}{ln ( 2 )}

Solution steps

y = 100 \cdot 2^{\frac{x}{2}}

Replace

x

with

y

x = 100 \cdot 2^{\frac{y}{2}}

Solve for

y, x = 100 \cdot 2^{\frac{y}{2}}

\frac{2 ln ( \frac{x}{100} )}{ln ( 2 )}

f (x) = 3 - ln (x^{2} + 2 x - 3)

f (x) = x + (\frac{4}{x})

f (x) = \frac{10 x - 6}{2 x - 2}

f (x) = - \frac{3 x - 7}{x}

f (x) = \frac{5 x - 9}{x - 2}

What is the inverse of f(x)=100*2^{x/2} ?
The inverse of f(x)=100*2^{x/2} is (2ln(x/(100)))/(ln(2))