What is the inverse of 1000^{log_{10}(x)} ?

The inverse of 1000^{log_{10}(x)} is 10^{(ln(x))/(3ln(10))}

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inverse of 1000^{log_{10}(x)}

inverse

100 0^{l o g_{10} (x)}

1 0^{\frac{l n ( x )}{3 l n ( 10 )}}

Solution steps

y = 100 0^{l o g_{10} (x)}

Replace

x

with

y

x = 100 0^{l o g_{10} (y)}

Solve for

y, x = 100 0^{l o g_{10} (y)}

1 0^{\frac{l n ( x )}{3 l n ( 10 )}}

f (x) = \frac{8 x + 80}{10 x}

y = - 3 x

3 - 4 x

f (x) = e^{3 x} + 1

x^{3} - 3 x^{2} - 4 x + 12

What is the inverse of 1000^{log_{10}(x)} ?
The inverse of 1000^{log_{10}(x)} is 10^{(ln(x))/(3ln(10))}