What is the inverse of f(x)=log_{10}(7x)+2 ?

The inverse of f(x)=log_{10}(7x)+2 is (10^{x-2})/7

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inverse of f(x)=log_{10}(7x)+2

inverse

f (x) = lo g_{10} (7 x) + 2

\frac{1 0 ^{x - 2}}{7}

Solution steps

y = lo g_{10} (7 x) + 2

Replace

x

with

y

x = lo g_{10} (7 y) + 2

Solve for

y, x = lo g_{10} (7 y) + 2

\frac{1 0 ^{x - 2}}{7}

13 - (x + 20) - 41

\frac{9 - 4 x}{x - 4}

f (x) = \frac{50}{( 1 - e ^{- x} )}

y = 30.5 - 2.5 h

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

What is the inverse of f(x)=log_{10}(7x)+2 ?
The inverse of f(x)=log_{10}(7x)+2 is (10^{x-2})/7