What is the answer to 4log_{12}(-9n)=-4 ?

The answer to 4log_{12}(-9n)=-4 is n=-1/108

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4log_{12}(-9n)=-4

4 lo g_{12} (- 9 n) = - 4

n = - \frac{1}{108}

Decimal

n = - 0.00925 \dots

Solution steps

4 lo g_{12} (- 9 n) = - 4

Divide both sides by

4

lo g_{12} (- 9 n) = - 1

Apply log rules

- 9 n = \frac{1}{12}

Solve

- 9 n = \frac{1}{12} : n = - \frac{1}{108}

n = - \frac{1}{108}

Verify Solutions:

n = - \frac{1}{108}

True

The solution is

n = - \frac{1}{108}

lo g_{1 + x} (16) = 2

lo g_{x + 1} (8) = 2

(ln (x))^{2} = 2 ln (x) + 3

lo g_{6} (y) = 3

lo g_{10} (2 x) = 4

What is the answer to 4log_{12}(-9n)=-4 ?
The answer to 4log_{12}(-9n)=-4 is n=-1/108
Solve for n: 4log_{12}(-9n)=-4
The solution is n=-1/108