What is the answer to 2ln(7x-8)+10=6 ?

The answer to 2ln(7x-8)+10=6 is x=(1+8e^2)/(7e^2)

Solve for x: 2ln(7x-8)+10=6

The solution is x=(1+8e^2)/(7e^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2 ln (7 x - 8) + 10 = 6

x = \frac{1 + 8 e ^{2}}{7 e ^{2}}

Decimal

x = 1.16219 \dots

Solution steps

2 ln (7 x - 8) + 10 = 6

Move

10

to the right side

2 ln (7 x - 8) = - 4

Divide both sides by

2

ln (7 x - 8) = - 2

Apply log rules

7 x - 8 = \frac{1}{e ^{2}}

Solve

7 x - 8 = \frac{1}{e ^{2}} : x = \frac{1 + 8 e ^{2}}{7 e ^{2}}

x = \frac{1 + 8 e ^{2}}{7 e ^{2}}

Verify Solutions:

x = \frac{1 + 8 e ^{2}}{7 e ^{2}}

True

The solution is

x = \frac{1 + 8 e ^{2}}{7 e ^{2}}

lo g_{t} (8) = 3

lo g_{10} (x) = - lo g_{10} (3)

lo g_{10} (x^{2} - 1) = 3

lo g_{10} (x) = 11 - x

ln (ln (x)) = - 1.4

What is the answer to 2ln(7x-8)+10=6 ?
The answer to 2ln(7x-8)+10=6 is x=(1+8e^2)/(7e^2)
Solve for x: 2ln(7x-8)+10=6
The solution is x=(1+8e^2)/(7e^2)