What is simplify-ln((sqrt(2))/2)+ln(1) ?

The solution to simplify-ln((sqrt(2))/2)+ln(1) is 1/2 ln(2)

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simplify-ln((sqrt(2))/2)+ln(1)

simplify

- ln (\frac{2}{2}) + ln (1)

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

Decimal Notation

0.34657 \dots

Solution steps

- ln (\frac{2}{2}) + ln (1)

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

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

= - (ln (2) - ln (2)) + ln (1)

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

ln (1) = 0

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

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

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

ln (\frac{x ^{4}}{( 3 x - 4 ) ^{2}})

\frac{1}{10} ln (\frac{10}{7})

lo g_{7} (\frac{y}{4})

5 + 3 lo g_{10} (\frac{1}{2})

\frac{2}{5} lo g_{10} (m) - \frac{3}{4} lo g_{10} (n)

What is simplify-ln((sqrt(2))/2)+ln(1) ?
The solution to simplify-ln((sqrt(2))/2)+ln(1) is 1/2 ln(2)