What is the answer to 4ln(-x)+3=21 ?

The answer to 4ln(-x)+3=21 is x=-e^{9/2}

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4ln(-x)+3=21

4 ln (- x) + 3 = 21

x = - e^{\frac{9}{2}}

Decimal Notation

x = - 90.01713 \dots

Solution steps

4 ln (- x) + 3 = 21

Move

3

to the right side

4 ln (- x) = 18

Divide both sides by

4

ln (- x) = \frac{9}{2}

Apply log rules

- x = e^{\frac{9}{2}}

Solve

- x = e^{\frac{9}{2}} : x = - e^{\frac{9}{2}}

x = - e^{\frac{9}{2}}

Verify Solutions:

x = - e^{\frac{9}{2}}

True

The solution is

x = - e^{\frac{9}{2}}

lo g_{2} (7 x + 11) = 5

lo g_{32} (x) = - \frac{3}{5}

ln (3 x + 1) - ln (4 - x) = ln (4)

lo g_{2} (x - 2) + 2 = lo g_{2} (32)

lo g_{0.3} (x) = 3