What is simplify-ln(9.6-3)+2ln(9.6-2) ?

The solution to simplify-ln(9.6-3)+2ln(9.6-2) is ln(8.75151…)

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simplify-ln(9.6-3)+2ln(9.6-2)

simplify

- ln (9.6 - 3) + 2 ln (9.6 - 2)

ln (8.75151 \dots)

Decimal Notation

2.16922 \dots

Solution steps

- ln (9.6 - 3) + 2 ln (9.6 - 2)

Apply log rule:

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

2 ln (9.6 - 2) = ln ((9.6 - 2)^{2})

= - ln (9.6 - 3) + ln ((9.6 - 2)^{2})

Apply log rule:

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

ln ((9.6 - 2)^{2}) - ln (9.6 - 3) = ln (\frac{( 9.6 - 2 ) ^{2}}{9.6 - 3})

= ln (\frac{( 9.6 - 2 ) ^{2}}{9.6 - 3})

\frac{( 9.6 - 2 ) ^{2}}{9.6 - 3} = 8.75151 \dots

= ln (8.75151 \dots)

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What is simplify-ln(9.6-3)+2ln(9.6-2) ?
The solution to simplify-ln(9.6-3)+2ln(9.6-2) is ln(8.75151…)