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Popular >

simplify ln(2a-2l)-ln(2l+2a)

Solution

simplify

ln (2 a - 2 l) - ln (2 l + 2 a)

Solution

ln (\frac{a - l}{l + a})

Solution steps

ln (2 a - 2 l) - ln (2 l + 2 a)

Apply log rule:

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

ln (2 a - 2 l) - ln (2 l + 2 a) = ln (\frac{2 a - 2 l}{2 a + 2 l})

= ln (\frac{2 a - 2 l}{2 l + 2 a})

Simplify

\frac{2 a - 2 l}{2 l + 2 a} : \frac{a - l}{l + a}

= ln (\frac{a - l}{l + a})

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Frequently Asked Questions (FAQ)

What is ln(2a-2l)-ln(2l+2a) ?
The solution to ln(2a-2l)-ln(2l+2a) is ln((a-l)/(l+a))