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Popular >

simplify ln(x)+ln(y)-3ln(z)

Solution

simplify

ln (x) + ln (y) - 3 ln (z)

Solution

ln (\frac{x y}{z ^{3}})

Solution steps

ln (x) + ln (y) - 3 ln (z)

Apply log rule:

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

ln (x) + ln (y) = ln (x y)

= ln (x y) - 3 ln (z)

Apply log rule:

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

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

= ln (x y) - ln (z^{3})

Apply log rule:

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

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

= ln (\frac{x y}{z ^{3}})

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Frequently Asked Questions (FAQ)

What is ln(x)+ln(y)-3ln(z) ?
The solution to ln(x)+ln(y)-3ln(z) is ln((xy)/(z^3))