What is the inverse of 100^{log_{10}(x)} ?

The inverse of 100^{log_{10}(x)} is 10^{(ln(x))/(2ln(10))}

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inverse of 100^{log_{10}(x)}

inverse

10 0^{l o g_{10} (x)}

1 0^{\frac{l n ( x )}{2 l n ( 10 )}}

Solution steps

y = 10 0^{l o g_{10} (x)}

Replace

x

with

y

x = 10 0^{l o g_{10} (y)}

Solve for

y, x = 10 0^{l o g_{10} (y)}

1 0^{\frac{l n ( x )}{2 l n ( 10 )}}

9 x - 6 y = - 42

f (x) = x^{4} e^{x} - 7

x - 2 y = - 20

f (x) = sin (2 x) + cos (x)

y = x^{2} + 6 x + 8

What is the inverse of 100^{log_{10}(x)} ?
The inverse of 100^{log_{10}(x)} is 10^{(ln(x))/(2ln(10))}