What is the inverse of f(x)=0.3(4)^x ?

The inverse of f(x)=0.3(4)^x is (ln((x*10)/3))/(2ln(2))

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inverse of f(x)=0.3(4)^x

inverse

f (x) = 0.3 (4)^{x}

\frac{ln ( \frac{x \cdot 10}{3} )}{2 ln ( 2 )}

Solution steps

y = 0.3 \cdot 4^{x}

Replace

x

with

y

x = 0.3 \cdot 4^{y}

Solve for

y, x = 0.3 4^{y}

\frac{ln ( \frac{x \cdot 10}{3} )}{2 ln ( 2 )}

θ = \frac{π}{3}

h (x) = \frac{1}{x + 3}

g (x) = 3 x - 6

- 3^{x - 3} + 3

What is the inverse of f(x)=0.3(4)^x ?
The inverse of f(x)=0.3(4)^x is (ln((x*10)/3))/(2ln(2))