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

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

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inverse of f(x)=(3)log_{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}

x^{2} - 5 x + 6

f (x) = \frac{x + 4}{6} + \frac{y + 3}{3} = 2

(73) (7 - 7)

f (x) = lo g_{2} (x + 6)

(4, 1.5), (4.5, 3.5)

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