en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

e^{3sqrt(ln(x))}=x

Solution

e^{3 l n (x)} = x

Solution

x = e^{9}, x = 1

+1

Decimal Notation

x = 8103.08392 \dots, x = 1

Solution steps

e^{3 l n (x)} = x

Apply log rules

3 ln (x) = ln (x)

Rewrite the equation with

ln (x) = u

3 u = u

Solve

3 u = u : u = 9, u = 0

u = 9, u = 0

Substitute back

u = ln (x),

solve for

x

Solve

ln (x) = 9 : x = e^{9}

Solve

ln (x) = 0 : x = 1

x = e^{9}, x = 1

Verify Solutions:

x = e^{9}

True

, x = 1

True

The solutions are

x = e^{9}, x = 1

Popular Examples

ln(x)=(1060)/x+5.08

ln (x) = \frac{1060}{x} + 5.08

ln (x - 3) = 10

lo g_{b} (9) = 1

solvefor x,log_{3}(4x)=1-2x solve for

x, lo g_{3} (4 x) = 1 - 2 x

ln (x) \cdot 2 = - ln (6)

Frequently Asked Questions (FAQ)

What is the answer to e^{3sqrt(ln(x))}=x ?
The answer to e^{3sqrt(ln(x))}=x is x=e^9,x=1