What is ln(((x-3)^2)/((x-2))) ?

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

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simplify ln(((x-3)^2)/((x-2)))

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= 2 ln (x - 3) - ln (x - 2)

ln (3.2) - 3 ln (10) - ln (20)

lo g_{3} (5 x y^{2})

ln (\frac{1}{x + 1})

3 lo g_{m} (6 w + 1) + \frac{1}{5} lo g_{m} (w + 8)

lo g_{4} (10 x y)

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