What is the inverse of f(x)=5log_{10}(x)-2 ?

The inverse of f(x)=5log_{10}(x)-2 is 10^{(x+2)/5}

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inverse of f(x)=5log_{10}(x)-2

inverse

f (x) = 5 lo g_{10} (x) - 2

1 0^{\frac{x + 2}{5}}

Solution steps

y = 5 lo g_{10} (x) - 2

Replace

x

with

y

x = 5 lo g_{10} (y) - 2

Solve for

y, x = 5 lo g_{10} (y) - 2

1 0^{\frac{x + 2}{5}}

f (x) = ln (x) - 1

f (x) = - \frac{4}{3 x ^{2}}

f (x) = x + 2 + 5

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

f (x) = x^{2} + 8 x + 6300

What is the inverse of f(x)=5log_{10}(x)-2 ?
The inverse of f(x)=5log_{10}(x)-2 is 10^{(x+2)/5}