What is the inverse of y=15(0.9)^{x/4} ?

The inverse of y=15(0.9)^{x/4} is (4ln(x/(15)))/(ln(0.9))

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inverse of y=15(0.9)^{x/4}

inverse

y = 15 (0.9)^{\frac{x}{4}}

\frac{4 ln ( \frac{x}{15} )}{ln ( 0.9 )}

Solution steps

y = 15 \cdot 0. 9^{\frac{x}{4}}

Replace

x

with

y

x = 15 \cdot 0. 9^{\frac{y}{4}}

Solve for

y, x = 150. 9^{\frac{y}{4}}

\frac{4 ln ( \frac{x}{15} )}{ln ( 0.9 )}

in v erse f (x) = \frac{2}{- x + 3}

in v erse f (x) = 30 (x + 20)^{2} - 4

in t erce pt s x^{2} + 8 x - 80

in v erse f (x) = - x + 6

m o n o t o n e \frac{4 t}{t ^{2} + 4}

What is the inverse of y=15(0.9)^{x/4} ?
The inverse of y=15(0.9)^{x/4} is (4ln(x/(15)))/(ln(0.9))