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

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

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3ln(x)+2=0

3 ln (x) + 2 = 0

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

Decimal Notation

x = 0.51341 \dots

Solution steps

3 ln (x) + 2 = 0

Move

2

to the right side

3 ln (x) = - 2

Divide both sides by

3

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

Apply log rules

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

Verify Solutions:

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

True

The solution is

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

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

lo g_{7} (x + 4) - lo g_{7} (x - 2) = 1

0 = 2 lo g_{10} (x)

ln (x^{2} - 5 x - 1) - ln (3 - 2 x) = 0