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Popular >

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

Solution

simplify

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

Solution

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

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} (\frac{a}{b})

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

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

Popular Examples

expand ln((3+5i)^i)expand

ln ((3 + 5 i)^{i})

simplify log_{10}(a)-5log_{10}(b)+1/2 log_{10}(c)simplify

lo g_{10} (a) - 5 lo g_{10} (b) + \frac{1}{2} lo g_{10} (c)

simplify log_{3}(5)+log_{3}(x)simplify

lo g_{3} (5) + lo g_{3} (x)

simplify log_{w}((5x)/(6z))simplify

lo g_{w} (\frac{5 x}{6 z})

expand log_{10}((8m)/n)expand

lo g_{10} (\frac{8 m}{n})

Frequently Asked Questions (FAQ)

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