What is simplify-2ln(4)+2ln(3) ?

The solution to simplify-2ln(4)+2ln(3) is ln(9/16)

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simplify-2ln(4)+2ln(3)

simplify

- 2 ln (4) + 2 ln (3)

ln (\frac{9}{16})

Decimal Notation

- 0.57536 \dots

Solution steps

- 2 ln (4) + 2 ln (3)

Apply log rule:

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

2 ln (4) = ln (4^{2})

= - ln (4^{2}) + 2 ln (3)

Apply log rule:

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

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

= - ln (4^{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 (4^{2}) = ln (\frac{3 ^{2}}{4 ^{2}})

= ln (\frac{3 ^{2}}{4 ^{2}})

\frac{3 ^{2}}{4 ^{2}} = \frac{9}{16}

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

\frac{1}{4} ln (\frac{49}{76})

ln (x + 4) - ln (2 x + 1)

ln (\frac{e ^{- 3 x} cos ^{2} ( x )}{x ^{2} + x + 1})

ln (\frac{2300}{894.25})

lo g_{6} ((\frac{a c}{b ^{5}})^{6})

What is simplify-2ln(4)+2ln(3) ?
The solution to simplify-2ln(4)+2ln(3) is ln(9/16)