What is the answer to -4log_{3}(-9m)=-4 ?

The answer to -4log_{3}(-9m)=-4 is m=-1/3

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-4log_{3}(-9m)=-4

- 4 lo g_{3} (- 9 m) = - 4

m = - \frac{1}{3}

Decimal Notation

m = - 0.33333 \dots

Solution steps

- 4 lo g_{3} (- 9 m) = - 4

Divide both sides by

- 4

lo g_{3} (- 9 m) = 1

Apply log rules

- 9 m = 3

Solve

- 9 m = 3 : m = - \frac{1}{3}

m = - \frac{1}{3}

Verify Solutions:

m = - \frac{1}{3}

True

The solution is

m = - \frac{1}{3}

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

16 lo g_{r} (4) = lo g_{4} (r)

lo g_{3} (x^{2} - 3 x + 1) = 0

lo g_{10} (x) = 0.61

lo g_{10} (8) = 3 - 3 lo g_{10} (x)

What is the answer to -4log_{3}(-9m)=-4 ?
The answer to -4log_{3}(-9m)=-4 is m=-1/3
Solve for m: -4log_{3}(-9m)=-4
The solution is m=-1/3