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Popular >

simplify ln((sqrt(e))/(y^3))

Solution

simplify

ln (\frac{e}{y ^{3}})

Solution

\frac{1}{2} - 3 ln (y)

Solution steps

ln (\frac{e}{y ^{3}})

Apply log rule:

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

ln (\frac{e}{y ^{3}}) = ln (e) - ln (y^{3})

= ln (e) - ln (y^{3})

Apply log rule:

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

ln (y^{3}) = 3 ln (y)

= ln (e) - 3 ln (y)

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

= \frac{1}{2} - 3 ln (y)

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Frequently Asked Questions (FAQ)

What is ln((sqrt(e))/(y^3)) ?
The solution to ln((sqrt(e))/(y^3)) is 1/2-3ln(y)