What is simplify-ln((e^2-1)/(2e^2)) ?

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

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simplify-ln((e^2-1)/(2e^2))

simplify

- ln (\frac{e ^{2} - 1}{2 e ^{2}})

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

Decimal Notation

0.83856 \dots

Solution steps

- ln (\frac{e ^{2} - 1}{2 e ^{2}})

Apply log rule:

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

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

= - (ln (e^{2} - 1) - ln (2 e^{2}))

Distribute parentheses

= - (ln (e^{2} - 1)) - (- ln (2 e^{2}))

Apply minus-plus rules

- (- a) = a, - (a) = - a

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

lo g_{2} (A) + lo g_{2} (B)

lo g_{10} (\frac{z ^{3} y}{x ^{4}})

ln (2) + ln (x) - ln (x - 1)

lo g_{2} (\frac{2 x + 3}{8})

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