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Popular >

simplify ln(ab)-ln(a)

Solution

simplify

ln (ab) - ln (a)

Solution

ln (b)

Solution steps

ln (ab) - ln (a)

Apply log rule:

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

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

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

Cancel the common factor:

a

= ln (b)

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Frequently Asked Questions (FAQ)

What is ln(ab)-ln(a) ?
The solution to ln(ab)-ln(a) is ln(b)