What is the inverse of f(x)=10ln(50t-1000) ?

The inverse of f(x)=10ln(50t-1000) is (e^{t/(10)}+1000)/(50)

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inverse of f(x)=10ln(50t-1000)

inverse

f (x) = 10 ln (50 t - 1000)

\frac{e ^{\frac{t}{10}} + 1000}{50}

Solution steps

x = 10 ln (50 t - 1000)

Replace

t

with

x

t = 10 ln (50 x - 1000)

Solve for

x, t = 10 ln (50 x - 1000)

\frac{e ^{\frac{t}{10}} + 1000}{50}

f (x) = 3 x^{\frac{7}{3}}

f (x) = ln (\frac{x}{8})

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

(x - 20)^{2}

f (x) = 0.125

What is the inverse of f(x)=10ln(50t-1000) ?
The inverse of f(x)=10ln(50t-1000) is (e^{t/(10)}+1000)/(50)