What is the inverse of f(x)= 1/2*10^{3x} ?

The inverse of f(x)= 1/2*10^{3x} is (ln(2x))/(3ln(10))

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inverse of f(x)= 1/2*10^{3x}

inverse

f (x) = \frac{1}{2} \cdot 1 0^{3 x}

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

Solution steps

y = \frac{1}{2} \cdot 1 0^{3 x}

Replace

x

with

y

x = \frac{1}{2} \cdot 1 0^{3 y}

Solve for

y, x = \frac{1}{2} \cdot 1 0^{3 y}

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

What is the inverse of f(x)= 1/2*10^{3x} ?
The inverse of f(x)= 1/2*10^{3x} is (ln(2x))/(3ln(10))