What is the answer to 6ln(5x+2)+6=-6 ?

The answer to 6ln(5x+2)+6=-6 is x=(1-2e^2)/(5e^2)

Solve for x: 6ln(5x+2)+6=-6

The solution is x=(1-2e^2)/(5e^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6 ln (5 x + 2) + 6 = - 6

x = \frac{1 - 2 e ^{2}}{5 e ^{2}}

Decimal

x = - 0.37293 \dots

Solution steps

6 ln (5 x + 2) + 6 = - 6

Move

6

to the right side

6 ln (5 x + 2) = - 12

Divide both sides by

6

ln (5 x + 2) = - 2

Apply log rules

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

Solve

5 x + 2 = \frac{1}{e ^{2}} : x = \frac{1 - 2 e ^{2}}{5 e ^{2}}

x = \frac{1 - 2 e ^{2}}{5 e ^{2}}

Verify Solutions:

x = \frac{1 - 2 e ^{2}}{5 e ^{2}}

True

The solution is

x = \frac{1 - 2 e ^{2}}{5 e ^{2}}

- ln (x) = 0

lo g_{\frac{1}{5}} (0.5 x + 3) = - 1

3 lo g_{10} (x) = 3

- \frac{1}{2} = ln (x)

lo g_{10} (x + 15) = lo g_{10} (x) + lo g_{10} (15)

What is the answer to 6ln(5x+2)+6=-6 ?
The answer to 6ln(5x+2)+6=-6 is x=(1-2e^2)/(5e^2)
Solve for x: 6ln(5x+2)+6=-6
The solution is x=(1-2e^2)/(5e^2)