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Popular >

ln(x-2e)+ln(x-3e)=2

Solution

ln (x - 2 e) + ln (x - 3 e) = 2

Solution

x = \frac{5 e + 5 e}{2}

+1

Decimal Notation

x = 9.83483 \dots

Solution steps

ln (x - 2 e) + ln (x - 3 e) = 2

Apply log rules

(x - 2 e) (x - 3 e) = e^{2}

Solve

(x - 2 e) (x - 3 e) = e^{2} : x = \frac{5 e + 5 e}{2}, x = \frac{5 e - 5 e}{2}

x = \frac{5 e + 5 e}{2}, x = \frac{5 e - 5 e}{2}

Verify Solutions:

x = \frac{5 e + 5 e}{2}

True

, x = \frac{5 e - 5 e}{2}

False

The solution is

x = \frac{5 e + 5 e}{2}

Popular Examples

ln (3 x - 11) = 9

ln (3 x - 11) = 3

log_{3}(x)+log_{2}(x)=5

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

log_{2}(3x-3)=4

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

5 ln (y) = 12

Frequently Asked Questions (FAQ)

What is the answer to ln(x-2e)+ln(x-3e)=2 ?
The answer to ln(x-2e)+ln(x-3e)=2 is x=(5e+sqrt(5)e)/2