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Popular >

simplify 2ln(6)-ln(3)

Solution

simplify

2 ln (6) - ln (3)

Solution

ln (12)

+1

Decimal Notation

2.48490 \dots

Solution steps

2 ln (6) - ln (3)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (6) = ln (6^{2})

= ln (6^{2}) - ln (3)

Apply log rule:

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

ln (6^{2}) - ln (3) = ln (\frac{6 ^{2}}{3})

= ln (\frac{6 ^{2}}{3})

\frac{6 ^{2}}{3} = 12

= ln (12)

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Frequently Asked Questions (FAQ)

What is 2ln(6)-ln(3) ?
The solution to 2ln(6)-ln(3) is ln(12)