en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

ln(2-3x)=ln(e^3)

Solution

ln (2 - 3 x) = ln (e^{3})

Solution

x = - \frac{e ^{3} - 2}{3}

+1

Decimal Notation

x = - 6.02851 \dots

Solution steps

ln (2 - 3 x) = ln (e^{3})

Apply log rules

2 - 3 x = e^{3}

Solve

2 - 3 x = e^{3} : x = - \frac{e ^{3} - 2}{3}

x = - \frac{e ^{3} - 2}{3}

Verify Solutions:

x = - \frac{e ^{3} - 2}{3}

True

The solution is

x = - \frac{e ^{3} - 2}{3}

Popular Examples

log_{2}(((x+1))/(x-1))=3

lo g_{2} (\frac{( x + 1 )}{x - 1}) = 3

(t)=3log_{2}(-3+t)

(t) = 3 lo g_{2} (- 3 + t)

log_{a}(x)=-1/(ln(a))

lo g_{a} (x) = - \frac{1}{ln ( a )}

20log_{10}(1/k)=17.1

20 lo g_{10} (\frac{1}{k}) = 17.1

solvefor y,ln(y)=-2t solve for

y, ln (y) = - 2 t

Frequently Asked Questions (FAQ)

What is the answer to ln(2-3x)=ln(e^3) ?
The answer to ln(2-3x)=ln(e^3) is x=-(e^3-2)/3