What is the answer to ln(y/(0.6-y))=ln(e) ?

The answer to ln(y/(0.6-y))=ln(e) is y=(1.63096…)/(1+e)

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ln(y/(0.6-y))=ln(e)

ln (\frac{y}{0.6 - y}) = ln (e)

y = \frac{1.63096 \dots}{1 + e}

Decimal Notation

y = 0.43863 \dots

Solution steps

ln (\frac{y}{0.6 - y}) = ln (e)

Apply log rules

\frac{y}{0.6 - y} = e

Multiply both sides by

0.6 - y

\frac{y}{0.6 - y} (0.6 - y) = e (0.6 - y)

Simplify

y = e (0.6 - y)

Solve

y = e (0.6 - y) : y = \frac{1.63096 \dots}{1 + e}

y = \frac{1.63096 \dots}{1 + e}

Verify Solutions:

y = \frac{1.63096 \dots}{1 + e}

True

The solution is

y = \frac{1.63096 \dots}{1 + e}

ln ((x - 2)^{4}) = 7

2 ln (7 x) = - 4

lo g_{2} (4 x) + lo g_{2} (x - 2) = 5

x, 4 = 2 lo g_{9} (6 x + 6)

\frac{ln ( 2 )}{ln ( a )} = 11

What is the answer to ln(y/(0.6-y))=ln(e) ?
The answer to ln(y/(0.6-y))=ln(e) is y=(1.63096…)/(1+e)