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Popular >

simplify 2ln(a)-ln(a^2+1)

Solution

simplify

2 ln (a) - ln (a^{2} + 1)

Solution

ln (\frac{a ^{2}}{a ^{2} + 1})

Solution steps

2 ln (a) - ln (a^{2} + 1)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (a) = ln (a^{2})

= ln (a^{2}) - ln (a^{2} + 1)

Apply log rule:

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

ln (a^{2}) - ln (a^{2} + 1) = ln (\frac{a ^{2}}{a ^{2} + 1})

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

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Frequently Asked Questions (FAQ)

What is 2ln(a)-ln(a^2+1) ?
The solution to 2ln(a)-ln(a^2+1) is ln((a^2)/(a^2+1))