What is the inverse of y=log_{10}(x^4) ?

The inverse of y=log_{10}(x^4) is sqrt(10^{x/2)},-sqrt(10^{x/2)}

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inverse of y=log_{10}(x^4)

inverse

y = lo g_{10} (x^{4})

1 0^{\frac{x}{2}}, - 1 0^{\frac{x}{2}}

Solution steps

y = lo g_{10} (x^{4})

Replace

x

with

y

x = lo g_{10} (y^{4})

Solve for

y, x = lo g_{10} (y^{4})

1 0^{\frac{x}{2}}, - 1 0^{\frac{x}{2}}

f (x) = \frac{- 6 x + 2}{7 x + 1}

f (x) = \frac{x + 4}{x - 6}

ln (14 x + e)

3 x^{\frac{2}{7}}

f (x) = \frac{4 x + 7}{x + 2}

What is the inverse of y=log_{10}(x^4) ?
The inverse of y=log_{10}(x^4) is sqrt(10^{x/2)},-sqrt(10^{x/2)}