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Popular >

simplify ln(x/(y^2))

Solution

simplify

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

Solution

ln (x) - 2 ln (y)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (x) - 2 ln (y)

Popular Examples

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expand log_{3}(a^{10})expand

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2 lo g_{10} (x) + lo g_{10} (x + 1) - 1

Frequently Asked Questions (FAQ)

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