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

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

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simplify-1ln((s^2-a^2)/(s^2))

simplify

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

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

Solution steps

- 1 \cdot ln (\frac{s ^{2} - a ^{2}}{s ^{2}})

Apply log rule:

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

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

= - 1 \cdot (ln (s^{2} - a^{2}) - ln (s^{2}))

Apply log rule:

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

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

= - 1 \cdot (ln (s^{2} - a^{2}) - 2 ln (s))

Multiply:

1 \cdot (ln (s^{2} - a^{2}) - 2 ln (s)) = (ln (s^{2} - a^{2}) - 2 ln (s))

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

Distribute parentheses

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

Apply minus-plus rules

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

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

ln (\frac{10}{0.5})

lo g_{e} (\frac{49 π ^{6}}{3})

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

ln (t^{2} x^{α} y^{β})

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