ln(sqrt(2)) — step-by-step solution

Let's calculate:

\ln (\sqrt{2})

ⓘ

2

being a strictly positive real, the logarithm of the power is the exponent times the logarithm of

2

\ln (\sqrt{2})

\frac{1}{2} \times \ln (2)

\frac{1}{2} \times \ln (2)

ⓘ Multiplying a fraction by a term multiplies its numerator:

\frac{1}{2} \times \ln (2)

\frac{1 \times \ln (2)}{2}

\frac{\ln (2)}{2}

▶Result:

\frac{\ln (2)}{2}

The numeric value of:

\frac{\ln (2)}{2}

is:

\frac{\approx 0.6931}{2}

▷

\approx 0.3466