What is the answer to -4log_{3}(3x+8)-2=-2 ?

The answer to -4log_{3}(3x+8)-2=-2 is x=-7/3

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-4log_{3}(3x+8)-2=-2

- 4 lo g_{3} (3 x + 8) - 2 = - 2

x = - \frac{7}{3}

Decimal Notation

x = - 2.33333 \dots

Solution steps

- 4 lo g_{3} (3 x + 8) - 2 = - 2

Add

2

to both sides

- 4 lo g_{3} (3 x + 8) - 2 + 2 = - 2 + 2

Simplify

- 4 lo g_{3} (3 x + 8) = 0

Divide both sides by

- 4

lo g_{3} (3 x + 8) = 0

Apply log rules

3 x + 8 = 1

Solve

3 x + 8 = 1 : x = - \frac{7}{3}

x = - \frac{7}{3}

Verify Solutions:

x = - \frac{7}{3}

True

The solution is

x = - \frac{7}{3}

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

lo g_{x} (6) = 7

0 = 1.88 + (- 0.225) ln (x)

ln (3 x) - 2 = 5

b, lo g_{b} (9) = 2

What is the answer to -4log_{3}(3x+8)-2=-2 ?
The answer to -4log_{3}(3x+8)-2=-2 is x=-7/3
Solve for x: -4log_{3}(3x+8)-2=-2
The solution is x=-7/3