What is the inverse of f(x)=3log_{5}(7x-4) ?

The inverse of f(x)=3log_{5}(7x-4) is (5^{x/3}+4)/7

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inverse of f(x)=3log_{5}(7x-4)

inverse

f (x) = 3 lo g_{5} (7 x - 4)

\frac{5 ^{\frac{x}{3}} + 4}{7}

Solution steps

y = 3 lo g_{5} (7 x - 4)

Replace

x

with

y

x = 3 lo g_{5} (7 y - 4)

Solve for

y, x = 3 lo g_{5} (7 y - 4)

\frac{5 ^{\frac{x}{3}} + 4}{7}

f (x) = x^{4} + 8 x^{3} + 16 x^{2}

f (x) = sin (7 x)

f (x) = \frac{- 2 - 7 x}{3 x - 1}

f (x) = \frac{1 + x ^{4}}{x ^{2} - x ^{4}}

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

What is the inverse of f(x)=3log_{5}(7x-4) ?
The inverse of f(x)=3log_{5}(7x-4) is (5^{x/3}+4)/7