What is the answer to 2ln(2x-10)+19=13 ?

The answer to 2ln(2x-10)+19=13 is x=(1+10e^3)/(2e^3)

Solve for x: 2ln(2x-10)+19=13

The solution is x=(1+10e^3)/(2e^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2 ln (2 x - 10) + 19 = 13

x = \frac{1 + 10 e ^{3}}{2 e ^{3}}

Decimal Notation

x = 5.02489 \dots

Solution steps

2 ln (2 x - 10) + 19 = 13

Move

19

to the right side

2 ln (2 x - 10) = - 6

Divide both sides by

2

ln (2 x - 10) = - 3

Apply log rules

2 x - 10 = \frac{1}{e ^{3}}

Solve

2 x - 10 = \frac{1}{e ^{3}} : x = \frac{1 + 10 e ^{3}}{2 e ^{3}}

x = \frac{1 + 10 e ^{3}}{2 e ^{3}}

Verify Solutions:

x = \frac{1 + 10 e ^{3}}{2 e ^{3}}

True

The solution is

x = \frac{1 + 10 e ^{3}}{2 e ^{3}}

lo g_{5} (3 x - 2) = 2

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

ln (3 x + 4) - ln (2 x + 1) = 5

lo g_{3} (lo g_{5} (x^{2})) = 1

- 1 = 10 lo g_{10} (x)

What is the answer to 2ln(2x-10)+19=13 ?
The answer to 2ln(2x-10)+19=13 is x=(1+10e^3)/(2e^3)
Solve for x: 2ln(2x-10)+19=13
The solution is x=(1+10e^3)/(2e^3)