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

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

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inverse of f(x)=2^{10^x}

inverse

f (x) = 2^{1 0^{x}}

\frac{ln ( \frac{l n ( x )}{l n ( 2 )} )}{ln ( 10 )}

Solution steps

y = 2^{1 0^{x}}

Replace

x

with

y

x = 2^{1 0^{y}}

Solve for

y, x = 2^{1 0^{y}}

\frac{ln ( \frac{l n ( x )}{l n ( 2 )} )}{ln ( 10 )}

f (x) = \frac{2 x ^{2} - x - 9}{x ^{2} + 1}

1.6 x + 7.25

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

f (x) = \frac{1}{2 x - 3}

6 y - 8 x = 54

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