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Popular >

simplify ln((xy)/z)

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

= ln (x y) - ln (z)

Apply log rule:

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

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

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

Popular Examples

x^{2} - x - 3 = 0

factor 9w^2+9w+2 factor

9 w^{2} + 9 w + 2

factor ((x^3+y^3))/(x-y)factor

\frac{( x ^{3} + y ^{3} )}{x - y}

factor 15m^3+12m^2-375m-300 factor

15 m^{3} + 12 m^{2} - 375 m - 300

5 y^{2} + 4 y - 3 = 0

Frequently Asked Questions (FAQ)

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