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Popular >

3ln(2x)=-3

Solution

3 ln (2 x) = - 3

Solution

x = \frac{1}{2 e}

+1

Decimal Notation

x = 0.18393 \dots

Solution steps

3 ln (2 x) = - 3

Divide both sides by

3

ln (2 x) = - 1

Apply log rules

2 x = \frac{1}{e}

Solve

2 x = \frac{1}{e} : x = \frac{1}{2 e}

x = \frac{1}{2 e}

Verify Solutions:

x = \frac{1}{2 e}

True

The solution is

x = \frac{1}{2 e}

Popular Examples

log_{16}(5x-2)= 3/4

lo g_{16} (5 x - 2) = \frac{3}{4}

solvefor x,0=ln(x)solve for

x, 0 = ln (x)

log_{2}(log_{3}(3x-6))=1

lo g_{2} (lo g_{3} (3 x - 6)) = 1

lo g_{b} (8) = 3

2 ln (3 x) = 8

Frequently Asked Questions (FAQ)

What is the answer to 3ln(2x)=-3 ?
The answer to 3ln(2x)=-3 is x= 1/(2e)
Solve for x: 3ln(2x)=-3
The solution is x= 1/(2e)