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

The inverse of f(x)=log_{10}(2)(x) is x/(log_{10)(2)}

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

inverse

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

\frac{x}{lo g _{10} ( 2 )}

Solution steps

y = lo g_{10} (2) x

Replace

x

with

y

x = lo g_{10} (2) y

Solve for

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

\frac{x}{lo g _{10} ( 2 )}

f (x) = \frac{2}{3} x - 10

x = b^{y}

f (x) = 3 - ln (2 x + 7)

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