What is ln((sqrt(3x))/7) ?

The solution to ln((sqrt(3x))/7) is ln(sqrt(3)sqrt(x))-ln(7)

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simplify ln((sqrt(3x))/7)

simplify

ln (\frac{3 x}{7})

ln (3 x) - ln (7)

Solution steps

ln (\frac{3 x}{7})

Apply log rule:

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

ln (\frac{3 x}{7}) = ln (3 x) - ln (7)

= ln (3 x) - ln (7)

3 x = 3 x

= ln (3 x) - ln (7)

lo g_{5} (\frac{3 x ^{3} ( 1 - 2 x ) ^{6}}{2 x ^{y} ( x ^{2} - y ^{2} )})

5 ln (2) + 7 ln (x) + 4 ln (y)

- (\frac{2}{5}) lo g_{2} (\frac{2}{5}) - (\frac{3}{5}) lo g_{2} (\frac{3}{5})

lo g_{3} (k^{2} - 9) - lo g_{3} (k) - 3

lo g_{2} (\frac{8}{x + 6})

What is ln((sqrt(3x))/7) ?
The solution to ln((sqrt(3x))/7) is ln(sqrt(3)sqrt(x))-ln(7)