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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 10 sin (x) + 2

f (x) = 3 x^{2} + 18 x + 6

f (x) = 7 x^{9}

3 3 x - 1 + 2

f (x) = \frac{11}{x - 8}

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