What is expand ln((x^2)/(sqrt(3x+2))) ?

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

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expand ln((x^2)/(sqrt(3x+2)))

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

\frac{1}{2} lo g_{2} (7) - 2 lo g_{2} (5)

lo g_{10} (\frac{9 x}{y})

ln (\frac{6 x 1 + 8 x}{( x - 4 ) ^{13}})

2 lo g_{10} (x) + 5 lo g_{10} (y)

lo g_{10} (x) + lo g_{10} (x - 3)

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