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Popular >

simplify (ln(x^2)-2ln(y))t

Solution

simplify

(ln (x^{2}) - 2 ln (y)) t

Solution

ln (\frac{x ^{2}}{y ^{2}}) t

Solution steps

(ln (x^{2}) - 2 ln (y)) t

Apply log rule:

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

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

= t (ln (x^{2}) - ln (y^{2}))

Apply log rule:

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

ln (x^{2}) - ln (y^{2}) = ln (\frac{x ^{2}}{y ^{2}})

= ln (\frac{x ^{2}}{y ^{2}}) t

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Frequently Asked Questions (FAQ)

What is (ln(x^2)-2ln(y))t ?
The solution to (ln(x^2)-2ln(y))t is ln((x^2)/(y^2))t