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Popular >

simplify ln(a*2)-ln(a)

Solution

simplify

ln (a \cdot 2) - ln (a)

Solution

ln (2)

+1

Decimal Notation

0.69314 \dots

Solution steps

ln (a \cdot 2) - ln (a)

Apply log rule:

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

ln (2 a) - ln (a) = ln (\frac{2 a}{a})

= ln (\frac{a \cdot 2}{a})

Cancel the common factor:

a

= ln (2)

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Frequently Asked Questions (FAQ)

What is ln(a*2)-ln(a) ?
The solution to ln(a*2)-ln(a) is ln(2)