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Popular >

expand ln((xy^2)/z)

Solution

expand

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

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

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

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) - ln (z)

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Frequently Asked Questions (FAQ)

What is expand ln((xy^2)/z) ?
The solution to expand ln((xy^2)/z) is ln(x)+2ln(y)-ln(z)