What is the answer to 3ln(x)+5ln(3)=ln(3/x) ?

The answer to 3ln(x)+5ln(3)=ln(3/x) is x= 1/3

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3ln(x)+5ln(3)=ln(3/x)

3 ln (x) + 5 ln (3) = ln (\frac{3}{x})

x = \frac{1}{3}

Decimal

x = 0.33333 \dots

Solution steps

3 ln (x) + 5 ln (3) = ln (\frac{3}{x})

Apply log rules

x^{3} \cdot 243 = \frac{3}{x}

Solve

x^{3} \cdot 243 = \frac{3}{x} : x = \frac{1}{3}, x = - \frac{1}{3}

x = \frac{1}{3}, x = - \frac{1}{3}

Verify Solutions:

x = \frac{1}{3}

True

, x = - \frac{1}{3}

False

The solution is

x = \frac{1}{3}

lo g_{x} (3) = 1

lo g_{x} (0.04) = - 2

x, y = ln (x^{2} + y^{2})

ln (ln (x)) = 0

lo g_{9} (15 - 4 n) = \frac{1}{2}

What is the answer to 3ln(x)+5ln(3)=ln(3/x) ?
The answer to 3ln(x)+5ln(3)=ln(3/x) is x= 1/3
Solve for x: 3ln(x)+5ln(3)=ln(3/x)
The solution is x= 1/3