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Popular >

3ln(4x)=-3

Solution

3 ln (4 x) = - 3

Solution

x = \frac{1}{4 e}

+1

Decimal Notation

x = 0.09196 \dots

Solution steps

3 ln (4 x) = - 3

Divide both sides by

3

ln (4 x) = - 1

Apply log rules

4 x = \frac{1}{e}

Solve

4 x = \frac{1}{e} : x = \frac{1}{4 e}

x = \frac{1}{4 e}

Verify Solutions:

x = \frac{1}{4 e}

True

The solution is

x = \frac{1}{4 e}

Popular Examples

log_{5}(x)+log_{3}(x)=1

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

1=-ln(1-x)-ln(x)

1 = - ln (1 - x) - ln (x)

2log_{x}(9)=3log_{4}(16)

2 lo g_{x} (9) = 3 lo g_{4} (16)

log_{2}(5x+4)=5

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

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

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

Frequently Asked Questions (FAQ)

What is the answer to 3ln(4x)=-3 ?
The answer to 3ln(4x)=-3 is x= 1/(4e)
Solve for x: 3ln(4x)=-3
The solution is x= 1/(4e)