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Naddik [55]
3 years ago
8

Solve this equation 4log√x - log 3x =log x^2​

Mathematics
1 answer:
ruslelena [56]3 years ago
5 0

Answer:

x =  \frac{1}{3}

Step-by-step explanation:

*Move terms to the left and set equal to zero:

4㏒(√x) - ㏒(3x) - ㏒(x²) = 0

*simplify each term:

㏒(x²) - ㏒(3x) - ㏒(x²)

㏒(x²÷x²) -㏒(3x)

㏒(x²÷x² / 3x)

*cancel common factor x²:

㏒(\frac{1}{3x})

*rewrite to solve for x :

10⁰ = \frac{1}{3x}

1 = \frac{1}{3x}

1 · x = \frac{1}{3x} · x

1x = \frac{1}{3}

*that would be our answer, however, the convention is to exclude the "1" in front of variables so we are left with:

x = \frac{1}{3}

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