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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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 )}

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