What is the answer to 2ln(x)+3=0 ?

The answer to 2ln(x)+3=0 is x= 1/(e^{3/2)}

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2ln(x)+3=0

2 ln (x) + 3 = 0

x = \frac{1}{e ^{\frac{3}{2}}}

Decimal Notation

x = 0.22313 \dots

Solution steps

2 ln (x) + 3 = 0

Move

3

to the right side

2 ln (x) = - 3

Divide both sides by

2

ln (x) = - \frac{3}{2}

Apply log rules

x = \frac{1}{e ^{\frac{3}{2}}}

Verify Solutions:

x = \frac{1}{e ^{\frac{3}{2}}}

True

The solution is

x = \frac{1}{e ^{\frac{3}{2}}}

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

lo g_{10} (3 x + 4) = 2

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

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

lo g_{3} (x - 9) + lo g_{3} (x - 3) = 2