What is the answer to ln(x)+ln(x-10)=4 ?

The answer to ln(x)+ln(x-10)=4 is x=(10+sqrt(100+4e^4))/2

Solve for x: ln(x)+ln(x-10)=4

The solution is x=(10+sqrt(100+4e^4))/2

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ln (x) + ln (x - 10) = 4

x = \frac{10 + 100 + 4 e ^{4}}{2}

Decimal

x = 13.92177 \dots

Solution steps

ln (x) + ln (x - 10) = 4

Apply log rules

x (x - 10) = e^{4}

Solve

x (x - 10) = e^{4} : x = \frac{10 + 100 + 4 e ^{4}}{2}, x = \frac{10 - 100 + 4 e ^{4}}{2}

x = \frac{10 + 100 + 4 e ^{4}}{2}, x = \frac{10 - 100 + 4 e ^{4}}{2}

Verify Solutions:

x = \frac{10 + 100 + 4 e ^{4}}{2}

True

, x = \frac{10 - 100 + 4 e ^{4}}{2}

False

The solution is

x = \frac{10 + 100 + 4 e ^{4}}{2}

- 3 lo g_{x} (\frac{1}{4}) = - 2

x ln (3 x - 5) = 0

x + lo g_{10} (x + 9) = 1

d, p = 42.6 + 26 lo g_{10} (d) + 20

lo g_{8} (x) = (\frac{4}{3})

What is the answer to ln(x)+ln(x-10)=4 ?
The answer to ln(x)+ln(x-10)=4 is x=(10+sqrt(100+4e^4))/2
Solve for x: ln(x)+ln(x-10)=4
The solution is x=(10+sqrt(100+4e^4))/2