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Popular >

simplify ln(6)-2ln(2)

Solution

simplify

ln (6) - 2 ln (2)

Solution

ln (\frac{3}{2})

+1

Decimal Notation

0.40546 \dots

Solution steps

ln (6) - 2 ln (2)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

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

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

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Frequently Asked Questions (FAQ)

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