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Popular >

inverse of f(x)=3^{(x-2)}

Solution

inverse

f (x) = 3^{(x - 2)}

Solution

\frac{ln ( x )}{ln ( 3 )} + 2

Solution steps

y = 3^{x - 2}

Replace

x

with

y

x = 3^{y - 2}

Solve for

y, x = 3^{y - 2}

\frac{ln ( x )}{ln ( 3 )} + 2

Popular Examples

inverse of f(x)=(3x+4)/7 inverse

f (x) = \frac{3 x + 4}{7}

inverse of f(x)=(9x)/4 inverse

f (x) = \frac{9 x}{4}

inverse of f(x)=arccos(0)inverse

f (x) = arccos (0)

inverse of f(x)=26*12^x inverse

f (x) = 26 \cdot 1 2^{x}

inverse of y=2^x-1 inverse

y = 2^{x} - 1

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=3^{(x-2)} ?
The inverse of f(x)=3^{(x-2)} is (ln(x))/(ln(3))+2