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 )}

h (t) = - 16 t^{2} + 48 t + 5

(\frac{3 - 2 x}{2 x - 5}) - 1

f (x) = \frac{x + 13}{5}

\frac{3 x + 2}{x ^{2} - 7 x}

y = lo g_{10} (3 x)

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))