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Popular >

ln(x)+ln(x-3e)=ln(4)+2

Solution

ln (x) + ln (x - 3 e) = ln (4) + 2

Solution

x = 4 e

+1

Decimal Notation

x = 10.87312 \dots

Solution steps

ln (x) + ln (x - 3 e) = ln (4) + 2

Apply log rules

x^{2} - 3 e x = 4 e^{2}

Solve

x^{2} - 3 e x = 4 e^{2} : x = 4 e, x = - e

x = 4 e, x = - e

Verify Solutions:

x = 4 e

True

, x = - e

False

The solution is

x = 4 e

Popular Examples

-4log_{2}(5x)=-12

- 4 lo g_{2} (5 x) = - 12

log_{x}(25)= 1/2

lo g_{x} (25) = \frac{1}{2}

log_{2}(x^2)=-2

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

log_{5}(4x+3)-log_{5}(x-1)=2

lo g_{5} (4 x + 3) - lo g_{5} (x - 1) = 2

3ln(3x+10)-15=-9

3 ln (3 x + 10) - 15 = - 9

Frequently Asked Questions (FAQ)

What is the answer to ln(x)+ln(x-3e)=ln(4)+2 ?
The answer to ln(x)+ln(x-3e)=ln(4)+2 is x=4e