What is the inverse of f(x)=log_{10}(7)(x) ?

The inverse of f(x)=log_{10}(7)(x) is x/(log_{10)(7)}

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inverse of f(x)=log_{10}(7)(x)

inverse

f (x) = lo g_{10} (7) (x)

\frac{x}{lo g _{10} ( 7 )}

Solution steps

y = lo g_{10} (7) x

Replace

x

with

y

x = lo g_{10} (7) y

Solve for

y, x = lo g_{10} (7) y

\frac{x}{lo g _{10} ( 7 )}

f (x) = \frac{( - 5 x + 2 )}{( 6 x + 3 )}

5 sin (x) - 7

f (x) = (2 e^{x})^{5}

f (x) = x^{2} - 3 x - 10

f (x) = g (x) = 3 x

What is the inverse of f(x)=log_{10}(7)(x) ?
The inverse of f(x)=log_{10}(7)(x) is x/(log_{10)(7)}