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Popular >

simplify 2ln(6)-2ln(4)

Solution

simplify

2 ln (6) - 2 ln (4)

Solution

ln (\frac{9}{4})

+1

Decimal Notation

0.81093 \dots

Solution steps

2 ln (6) - 2 ln (4)

Apply log rule:

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

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

= ln (6^{2}) - 2 ln (4)

Apply log rule:

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

2 ln (4) = ln (4^{2})

= ln (6^{2}) - ln (4^{2})

Apply log rule:

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

ln (6^{2}) - ln (4^{2}) = ln (\frac{6 ^{2}}{4 ^{2}})

= ln (\frac{6 ^{2}}{4 ^{2}})

\frac{6 ^{2}}{4 ^{2}} = \frac{9}{4}

= ln (\frac{9}{4})

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Frequently Asked Questions (FAQ)

What is 2ln(6)-2ln(4) ?
The solution to 2ln(6)-2ln(4) is ln(9/4)