What is the inverse of f(x)=log_{10}(x)-0.3 ?

The inverse of f(x)=log_{10}(x)-0.3 is 10^{x+0.3}

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inverse of f(x)=log_{10}(x)-0.3

inverse

f (x) = lo g_{10} (x) - 0.3

1 0^{x + 0.3}

Solution steps

y = lo g_{10} (x) - 0.3

Replace

x

with

y

x = lo g_{10} (y) - 0.3

Solve for

y, x = lo g_{10} (y) - 0.3

1 0^{x + 0.3}

y = x^{2} - 25

\frac{2 x ^{2} - 12 x + 19}{x ^{2} - 6 x + 9}

y - 343 = - \frac{4}{7} (x - 64)

10 x - 6 y = - 4

f (x) = tan (x)

What is the inverse of f(x)=log_{10}(x)-0.3 ?
The inverse of f(x)=log_{10}(x)-0.3 is 10^{x+0.3}