What is the inverse of f(x)=15.45(1.46^x) ?

The inverse of f(x)=15.45(1.46^x) is (ln(\frac{20x)/(309))}{ln(1.46)}

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inverse of f(x)=15.45(1.46^x)

inverse

f (x) = 15.45 (1.4 6^{x})

\frac{ln ( \frac{20 x}{309} )}{ln ( 1.46 )}

Solution steps

y = 15.45 \cdot 1.4 6^{x}

Replace

x

with

y

x = 15.45 \cdot 1.4 6^{y}

Solve for

y, x = 15.451.4 6^{y}

\frac{ln ( \frac{20 x}{309} )}{ln ( 1.46 )}

(3.1) (4.7)

f (x) = 2^{x} + 6

f (x) = \frac{1}{( 1 - x ) ^{2}}

f (x) = \frac{x + 1}{2}

f (x) = \frac{1}{x + 9}

What is the inverse of f(x)=15.45(1.46^x) ?
The inverse of f(x)=15.45(1.46^x) is (ln(\frac{20x)/(309))}{ln(1.46)}