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Popular >

simplify ln(ab)+ln(a/b)

Solution

simplify

ln (ab) + ln (\frac{a}{b})

Solution

ln (a^{2})

Solution steps

ln (ab) + ln (\frac{a}{b})

Apply log rule:

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

ln (ab) + ln (\frac{a}{b}) = ln (ab \frac{a}{b})

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

Simplify

ab \frac{a}{b} : a^{2}

= ln (a^{2})

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Frequently Asked Questions (FAQ)

What is ln(ab)+ln(a/b) ?
The solution to ln(ab)+ln(a/b) is ln(a^2)