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Popular >

simplify ln((a*b)/c)

Solution

simplify

ln (\frac{a \cdot b}{c})

Solution

ln (a) + ln (b) - ln (c)

Solution steps

ln (\frac{ab}{c})

Apply log rule:

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

ln (\frac{ab}{c}) = ln (ab) - ln (c)

= ln (ab) - ln (c)

Apply log rule:

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

ln (ab) = ln (a) + ln (b)

= ln (a) + ln (b) - ln (c)

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Frequently Asked Questions (FAQ)

What is ln((a*b)/c) ?
The solution to ln((a*b)/c) is ln(a)+ln(b)-ln(c)