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Popular >

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

Solution

simplify

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

Solution

ln (x yz)

Solution steps

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

Apply log rule:

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

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

= ln (x yz)

Popular Examples

simplify-8/13 log_{2}(8/13)-5/13 log_{2}(5/13)simplify

- \frac{8}{13} lo g_{2} (\frac{8}{13}) - \frac{5}{13} lo g_{2} (\frac{5}{13})

simplify log_{4}((x^2+x-2)/(x^2-x))simplify

lo g_{4} (\frac{x ^{2} + x - 2}{x ^{2} - x})

simplify 3/2 ln(a)+1/2 ln(b)-1 simplify

\frac{3}{2} ln (a) + \frac{1}{2} ln (b) - 1

simplify 2log_{b}(w)+4(log_{b}(x)-5log_{b}(z))simplify

2 lo g_{b} (w) + 4 (lo g_{b} (x) - 5 lo g_{b} (z))

simplify log_{6}((x^3)/(y^6))simplify

lo g_{6} (\frac{x ^{3}}{y ^{6}})

Frequently Asked Questions (FAQ)

What is ln(x)+ln(y)+ln(z) ?
The solution to ln(x)+ln(y)+ln(z) is ln(xyz)