What is the inverse of f(x)=3log_{10}(x-1) ?

The inverse of f(x)=3log_{10}(x-1) is 10^{x/3}+1

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inverse of f(x)=3log_{10}(x-1)

inverse

f (x) = 3 lo g_{10} (x - 1)

1 0^{\frac{x}{3}} + 1

Solution steps

y = 3 lo g_{10} (x - 1)

Replace

x

with

y

x = 3 lo g_{10} (y - 1)

Solve for

y, x = 3 lo g_{10} (y - 1)

1 0^{\frac{x}{3}} + 1

arccos (\frac{11}{x})

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

f (x) = - \frac{1}{3} x

tan (x) 0.5

f (x) = 2 x + 3, x = 2

What is the inverse of f(x)=3log_{10}(x-1) ?
The inverse of f(x)=3log_{10}(x-1) is 10^{x/3}+1