What is the inverse of f(x)=10^{sqrt(x)} ?

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

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inverse of f(x)=10^{sqrt(x)}

inverse

f (x) = 1 0^{x}

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

Solution steps

y = 1 0^{x}

Replace

x

with

y

x = 1 0^{y}

Solve for

y, x = 1 0^{y}

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

sin (x^{2})

f (x) = 1 + ln (x + 2)

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

f (x) = x (x + 1)

\frac{x}{x - 3}

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