What is the inverse of y=33.4(1.032)^t ?

The inverse of y=33.4(1.032)^t is (ln(\frac{5t)/(167))}{ln(1.032)}

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inverse of y=33.4(1.032)^t

inverse

y = 33.4 (1.032)^{t}

\frac{ln ( \frac{5 t}{167} )}{ln ( 1.032 )}

Solution steps

y = 33.4 \cdot 1.03 2^{t}

Replace

t

with

y

t = 33.4 \cdot 1.03 2^{y}

Solve for

y, t = 33.41.03 2^{y}

\frac{ln ( \frac{5 t}{167} )}{ln ( 1.032 )}

What is the inverse of y=33.4(1.032)^t ?
The inverse of y=33.4(1.032)^t is (ln(\frac{5t)/(167))}{ln(1.032)}