What is the inverse of f(x)=5*7^{1-x} ?

The inverse of f(x)=5*7^{1-x} is -(ln(x/5)-ln(7))/(ln(7))

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inverse of f(x)=5*7^{1-x}

inverse

f (x) = 5 \cdot 7^{1 - x}

- \frac{ln ( \frac{x}{5} ) - ln ( 7 )}{ln ( 7 )}

Solution steps

y = 5 \cdot 7^{1 - x}

Replace

x

with

y

x = 5 \cdot 7^{1 - y}

Solve for

y, x = 5 \cdot 7^{1 - y}

- \frac{ln ( \frac{x}{5} ) - ln ( 7 )}{ln ( 7 )}

What is the inverse of f(x)=5*7^{1-x} ?
The inverse of f(x)=5*7^{1-x} is -(ln(x/5)-ln(7))/(ln(7))