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

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

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

inverse

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

\frac{x ln ( 10 )}{ln ( 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 ln ( 10 )}{ln ( 7 )}

f (x) = 2 x - 2 + 3

\frac{x ^{2}}{x + 2}

y = 5 x + 1

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

f (x) = y (2) = 1

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