What is the answer to ln(x/2)+1=0 ?

The answer to ln(x/2)+1=0 is x= 2/e

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ln(x/2)+1=0

ln (\frac{x}{2}) + 1 = 0

x = \frac{2}{e}

Decimal

x = 0.73575 \dots

Solution steps

ln (\frac{x}{2}) + 1 = 0

Move

1

to the right side

ln (\frac{x}{2}) = - 1

Apply log rules

\frac{x}{2} = e^{- 1}

Multiply both sides by

2

\frac{x}{2} \cdot 2 = e^{- 1} \cdot 2

Simplify

e^{- 1} \cdot 2 : \frac{2}{e}

x = \frac{2}{e}

Verify Solutions:

x = \frac{2}{e}

True

The solution is

x = \frac{2}{e}

x, ln (x) = - \frac{1}{2}

lo g_{4} (x + 3) - lo g_{2} (x) = 1

- 3.01 = 20 lo g_{10} (x)

lo g_{4} (3 x) = 3

3 = lo g_{10} (10 G)