What is simplify-ln(5.8)+2ln(6.8)+c ?

The solution to simplify-ln(5.8)+2ln(6.8)+c is ln(7.97241…)+c

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simplify-ln(5.8)+2ln(6.8)+c

simplify

- ln (5.8) + 2 ln (6.8) + c

ln (7.97241 \dots) + c

Solution steps

- ln (5.8) + 2 ln (6.8) + c

Apply log rule:

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

2 ln (6.8) = ln (6. 8^{2})

= - ln (5.8) + ln (6. 8^{2}) + c

Apply log rule:

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

ln (6. 8^{2}) - ln (5.8) = ln (\frac{6. 8 ^{2}}{5.8})

= ln (\frac{6. 8 ^{2}}{5.8}) + c

\frac{6. 8 ^{2}}{5.8} = 7.97241 \dots

= ln (7.97241 \dots) + c

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What is simplify-ln(5.8)+2ln(6.8)+c ?
The solution to simplify-ln(5.8)+2ln(6.8)+c is ln(7.97241…)+c