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))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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 )}

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))