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Popular >

simplify ln(2)-ln(sqrt(2))

Solution

simplify

ln (2) - ln (2)

Solution

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

+1

Decimal Notation

0.34657 \dots

Solution steps

ln (2) - ln (2)

Apply log rule:

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

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

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

\frac{2}{2} = 2

= ln (2)

Rewrite as

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

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

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

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Frequently Asked Questions (FAQ)

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