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Popular >

simplify 2ln(8)-2ln(6)

Solution

simplify

2 ln (8) - 2 ln (6)

Solution

ln (\frac{16}{9})

+1

Decimal Notation

0.57536 \dots

Solution steps

2 ln (8) - 2 ln (6)

Apply log rule:

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

2 ln (8) = ln (8^{2})

= ln (8^{2}) - 2 ln (6)

Apply log rule:

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

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

= ln (8^{2}) - ln (6^{2})

Apply log rule:

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

ln (8^{2}) - ln (6^{2}) = ln (\frac{8 ^{2}}{6 ^{2}})

= ln (\frac{8 ^{2}}{6 ^{2}})

\frac{8 ^{2}}{6 ^{2}} = \frac{16}{9}

= ln (\frac{16}{9})

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Frequently Asked Questions (FAQ)

What is 2ln(8)-2ln(6) ?
The solution to 2ln(8)-2ln(6) is ln(16/9)