What is the answer to 2ln(7x-2)-19=-3 ?

The answer to 2ln(7x-2)-19=-3 is x=(e^8+2)/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2ln(7x-2)-19=-3

2 ln (7 x - 2) - 19 = - 3

x = \frac{e ^{8} + 2}{7}

Solution steps

2 ln (7 x - 2) - 19 = - 3

Move

19

to the right side

2 ln (7 x - 2) = 16

Divide both sides by

2

ln (7 x - 2) = 8

Apply log rules

7 x - 2 = e^{8}

Solve

7 x - 2 = e^{8} : x = \frac{e ^{8} + 2}{7}

x = \frac{e ^{8} + 2}{7}

Verify Solutions:

x = \frac{e ^{8} + 2}{7}

True

The solution is

x = \frac{e ^{8} + 2}{7}

lo g_{2} (4 x) - 2 lo g_{2} (5) = 3

ln (3 x) + ln (6) = ln (5 x + 7)

ln (3) = ln (7 x - 2) - 2 ln (x)

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

6 = 7.2 + lo g_{10} (x)

What is the answer to 2ln(7x-2)-19=-3 ?
The answer to 2ln(7x-2)-19=-3 is x=(e^8+2)/7
Solve for x: 2ln(7x-2)-19=-3
The solution is x=(e^8+2)/7