What is the answer to 3.8=ln(2/x) ?

The answer to 3.8=ln(2/x) is x=0.04474…

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3.8=ln(2/x)

3.8 = ln (\frac{2}{x})

x = 0.04474 \dots

Solution steps

3.8 = ln (\frac{2}{x})

Apply log rules

e^{3.8} = \frac{2}{x}

Multiply both sides by

x

e^{3.8} x = \frac{2}{x} x

Simplify

e^{3.8} x = 2

Simplify

44.70118 \dots x = 2

Solve

44.70118 \dots x = 2 : x = 0.04474 \dots

x = 0.04474 \dots

Verify Solutions:

x = 0.04474 \dots

True

The solution is

x = 0.04474 \dots

lo g_{8} (x) = - \frac{2}{3}

ln (4^{x}) = ln (e^{5 x - 1})

lo g_{2} (3 - x) + lo g_{2} (7 - x) = 5

lo g_{2} (2 x + 6) = 3

2 + 2 ln (x) = ln (x) + ln (2)