en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of arctan(ln(3x))

Solution

inverse

arctan (ln (3 x))

Solution

\frac{e ^{t a n (x)}}{3}

Solution steps

arctan (a) = b \Rightarrow a = tan (b)

ln (3 x) = tan (y)

Solve for

x, ln (3 x) = tan (y)

\frac{e ^{t a n (y)}}{3}

Substitute

y = x

\frac{e ^{t a n (x)}}{3}

Popular Examples

inverse of (3x)/(8x-1)inverse

\frac{3 x}{8 x - 1}

inverse of f(x)=(x+1)/(6x+7)inverse

f (x) = \frac{x + 1}{6 x + 7}

inverse of f(x)=x,x<1 inverse

f (x) = x, x < 1

inverse of (x^2+7x+13)/(x+4)inverse

\frac{x ^{2} + 7 x + 13}{x + 4}

inverse of f(x)=e^2+1 inverse

f (x) = e^{2} + 1

Frequently Asked Questions (FAQ)

What is the inverse of arctan(ln(3x)) ?
The inverse of arctan(ln(3x)) is (e^{tan(x)})/3