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Popular >

simplify ln(a/(bc))

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

ln (\frac{a}{b c}) = ln (a) - ln (b c)

= ln (a) - ln (b c)

Apply log rule:

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

ln (b c) = ln (b) + ln (c)

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

- (ln (b) + ln (c)) : - ln (b) - ln (c)

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

Popular Examples

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factor tx(ln(tx)-ln(ty)-1)factor

t x (ln (t x) - ln (t y) - 1)

Frequently Asked Questions (FAQ)

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