What is the inverse of f(t)=110*2^{t/4} ?

The inverse of f(t)=110*2^{t/4} is (4ln(t/(110)))/(ln(2))

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inverse of f(t)=110*2^{t/4}

inverse

f (t) = 110 \cdot 2^{\frac{t}{4}}

\frac{4 ln ( \frac{t}{110} )}{ln ( 2 )}

Solution steps

y = 110 \cdot 2^{\frac{t}{4}}

Replace

t

with

y

t = 110 \cdot 2^{\frac{y}{4}}

Solve for

y, t = 110 \cdot 2^{\frac{y}{4}}

\frac{4 ln ( \frac{t}{110} )}{ln ( 2 )}

What is the inverse of f(t)=110*2^{t/4} ?
The inverse of f(t)=110*2^{t/4} is (4ln(t/(110)))/(ln(2))