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Popular >

simplify ln((27a)/b)

Solution

simplify

ln (\frac{27 a}{b})

Solution

3 ln (3) + ln (a) - ln (b)

Solution steps

ln (\frac{27 a}{b})

Apply log rule:

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

ln (\frac{27 a}{b}) = ln (27 a) - ln (b)

= ln (27 a) - ln (b)

Apply log rule:

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

ln (27 a) = ln (27) + ln (a)

= ln (27) + ln (a) - ln (b)

ln (27) = 3 ln (3)

= 3 ln (3) + ln (a) - ln (b)

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Frequently Asked Questions (FAQ)

What is ln((27a)/b) ?
The solution to ln((27a)/b) is 3ln(3)+ln(a)-ln(b)