What is the answer to -3xln(1/4)=(2x+7)ln(1/8) ?

The answer to -3xln(1/4)=(2x+7)ln(1/8) is x=-7/4

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-3xln(1/4)=(2x+7)ln(1/8)

- 3 x ln (\frac{1}{4}) = (2 x + 7) ln (\frac{1}{8})

x = - \frac{7}{4}

Decimal Notation

x = - 1.75

Solution steps

- 3 x ln (\frac{1}{4}) = (2 x + 7) ln (\frac{1}{8})

Expand

(2 x + 7) ln (\frac{1}{8}) : 2 ln (\frac{1}{8}) x + 7 ln (\frac{1}{8})

- 3 x ln (\frac{1}{4}) = 2 ln (\frac{1}{8}) x + 7 ln (\frac{1}{8})

Move

2 ln (\frac{1}{8}) x

to the left side

12 ln (2) x = 7 ln (\frac{1}{8})

Divide both sides by

12 ln (2)

x = - \frac{7}{4}

3 (x - 1) = 2 (x + 1)

0 - 3 y = 9

10 m - 4 m - 7 = 6 m - 7

(x + 9)^{2} = (x - 9)^{2} + 72

2 x + 5 (3 x - 1) = x - 13

What is the answer to -3xln(1/4)=(2x+7)ln(1/8) ?
The answer to -3xln(1/4)=(2x+7)ln(1/8) is x=-7/4
Solve for x: -3xln(1/4)=(2x+7)ln(1/8)
The solution is x=-7/4