What is the inverse of f(x)=100(2)^{t/3} ?

The inverse of f(x)=100(2)^{t/3} is (3ln(t/(100)))/(ln(2))

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inverse of f(x)=100(2)^{t/3}

inverse

f (x) = 100 (2)^{\frac{t}{3}}

\frac{3 ln ( \frac{t}{100} )}{ln ( 2 )}

Solution steps

x = 100 \cdot 2^{\frac{t}{3}}

Replace

t

with

x

t = 100 \cdot 2^{\frac{x}{3}}

Solve for

x, t = 100 2^{\frac{x}{3}}

\frac{3 ln ( \frac{t}{100} )}{ln ( 2 )}

f (x) = - x - 5

g (x) = - 3 x + 14

f (x) = 25 x + 9

x - 2 + 5

f (x) = x + 3 - 8

What is the inverse of f(x)=100(2)^{t/3} ?
The inverse of f(x)=100(2)^{t/3} is (3ln(t/(100)))/(ln(2))