What is the answer to ln(x)+ln(x-8)=4 ?

The answer to ln(x)+ln(x-8)=4 is x=(8+sqrt(64+4e^4))/2

Solve for x: ln(x)+ln(x-8)=4

The solution is x=(8+sqrt(64+4e^4))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

ln (x) + ln (x - 8) = 4

x = \frac{8 + 64 + 4 e ^{4}}{2}

Decimal Notation

x = 12.40227 \dots

Solution steps

ln (x) + ln (x - 8) = 4

Apply log rules

x (x - 8) = e^{4}

Solve

x (x - 8) = e^{4} : x = \frac{8 + 64 + 4 e ^{4}}{2}, x = \frac{8 - 64 + 4 e ^{4}}{2}

x = \frac{8 + 64 + 4 e ^{4}}{2}, x = \frac{8 - 64 + 4 e ^{4}}{2}

Verify Solutions:

x = \frac{8 + 64 + 4 e ^{4}}{2}

True

, x = \frac{8 - 64 + 4 e ^{4}}{2}

False

The solution is

x = \frac{8 + 64 + 4 e ^{4}}{2}

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

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

lo g_{x} (64) = \frac{1}{2}

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

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

What is the answer to ln(x)+ln(x-8)=4 ?
The answer to ln(x)+ln(x-8)=4 is x=(8+sqrt(64+4e^4))/2
Solve for x: ln(x)+ln(x-8)=4
The solution is x=(8+sqrt(64+4e^4))/2