What is the answer to 2ln(x+2)=-4 ?

The answer to 2ln(x+2)=-4 is x= 1/(e^2)-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2ln(x+2)=-4

2 ln (x + 2) = - 4

x = \frac{1}{e ^{2}} - 2

Decimal Notation

x = - 1.86466 \dots

Solution steps

2 ln (x + 2) = - 4

Divide both sides by

2

ln (x + 2) = - 2

Apply log rules

x + 2 = \frac{1}{e ^{2}}

Solve

x + 2 = \frac{1}{e ^{2}} : x = \frac{1}{e ^{2}} - 2

x = \frac{1}{e ^{2}} - 2

Verify Solutions:

x = \frac{1}{e ^{2}} - 2

True

The solution is

x = \frac{1}{e ^{2}} - 2

lo g_{6} (24 x) - lo g_{6} (2) = 2

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

2.73 = - lo g_{10} (x)

lo g_{10} (4 x + 8) - lo g_{10} (3) = 2

y, x = 2 y + ln (y)