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

The solution to simplify-2ln(2)+2ln(3) is ln(9/4)

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

simplify

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

ln (\frac{9}{4})

Decimal Notation

0.81093 \dots

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

2 ln (3) = ln (3^{2})

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

Apply log rule:

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

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

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

\frac{3 ^{2}}{2 ^{2}} = \frac{9}{4}

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

lo g_{10} (C \cdot x^{a} \cdot y^{b})

lo g_{2} (\frac{( 6 x y )}{x ^{2}})

- lo g_{10} (1.67 \cdot 1 0^{- 5})

ln ((7 x^{3} + 3)^{c o s (x)})

lo g_{10} ((\frac{u ^{6}}{v})^{4})

What is simplify-2ln(2)+2ln(3) ?
The solution to simplify-2ln(2)+2ln(3) is ln(9/4)