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

The solution to simplify-ln(x+2)+2ln(x+3) is ln(((x+3)^2)/(x+2))

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

simplify

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

ln (\frac{( x + 3 ) ^{2}}{x + 2})

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

2 lo g_{5} (3 x + 2) - lo g_{5} (x + 1)

lo g_{3} (x (x + 1))

lo g_{5} (2 x)

lo g_{10} (z^{9} y)

lo g_{3} (4 ab)

What is simplify-ln(x+2)+2ln(x+3) ?
The solution to simplify-ln(x+2)+2ln(x+3) is ln(((x+3)^2)/(x+2))