Solve ln ( 36x^3 \sqrt x )

Evaluate

ln (36 x^{3} x)

Use lo g_{a} (x \times y) = lo g_{a} (x) + lo g_{a} (y) to transform the expression

ln (36) + ln (x^{3}) + ln (x)

Simplify the expression

More Steps

2 ln (6) + ln (x^{3}) + ln (x)

Use lo g_{a} b^{n} = n lo g_{a} b to simplify the expression

2 ln (6) + 3 ln (x) + ln (x)

Simplify the expression

More Steps

2 ln (6) + 3 ln (x) + \frac{1}{2} ln (x)

Solution

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2 ln (6) + \frac{7}{2} ln (x)

Expand the expression