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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

= ln (a) - ln (b c)

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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