What is the inverse of f(x)=5((((4))/7)^x-2) ?

The inverse of f(x)=5((((4))/7)^x-2) is (ln(x/5+2))/(ln(4/7))

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inverse of f(x)=5((((4))/7)^x-2)

inverse

f (x) = 5 ((\frac{( 4 )}{7})^{x} - 2)

\frac{ln ( \frac{x}{5} + 2 )}{ln ( \frac{4}{7} )}

Solution steps

y = 5 ((\frac{4}{7})^{x} - 2)

Replace

x

with

y

x = 5 ((\frac{4}{7})^{y} - 2)

Solve for

y, x = 5 ((\frac{4}{7})^{y} - 2)

\frac{ln ( \frac{x}{5} + 2 )}{ln ( \frac{4}{7} )}

x^{2} - 6 x - 7

m = 0, (7, 5)

\frac{3 x ^{2} + 5 x - 12}{x ^{3} - 3 x ^{2}}

f (x) = \frac{x ^{2} - 4 x + 8}{x + 2}

5 x + 10 y = - 20

What is the inverse of f(x)=5((((4))/7)^x-2) ?
The inverse of f(x)=5((((4))/7)^x-2) is (ln(x/5+2))/(ln(4/7))