What is simplify-ln(7.6-3)+2ln(7.6-2) ?

The solution to simplify-ln(7.6-3)+2ln(7.6-2) is ln(6.81739…)

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simplify-ln(7.6-3)+2ln(7.6-2)

simplify

- ln (7.6 - 3) + 2 ln (7.6 - 2)

ln (6.81739 \dots)

Decimal Notation

1.91947 \dots

Solution steps

- ln (7.6 - 3) + 2 ln (7.6 - 2)

Apply log rule:

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

2 ln (7.6 - 2) = ln ((7.6 - 2)^{2})

= - ln (7.6 - 3) + ln ((7.6 - 2)^{2})

Apply log rule:

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

ln ((7.6 - 2)^{2}) - ln (7.6 - 3) = ln (\frac{( 7.6 - 2 ) ^{2}}{7.6 - 3})

= ln (\frac{( 7.6 - 2 ) ^{2}}{7.6 - 3})

\frac{( 7.6 - 2 ) ^{2}}{7.6 - 3} = 6.81739 \dots

= ln (6.81739 \dots)

ln (\frac{\frac{16}{3}}{0.2})

ln (y e^{\frac{- x ^{2} - y ^{2}}{2}})

2 ln (x) - \frac{1}{2} ln (x + 5)

4^{\frac{l n ( \frac{4}{3} )}{3 l n ( 2 )}}

ln (5 x) + ln (3 x)

What is simplify-ln(7.6-3)+2ln(7.6-2) ?
The solution to simplify-ln(7.6-3)+2ln(7.6-2) is ln(6.81739…)