What is ln((sqrt(3x-5))/7) ?

The solution to ln((sqrt(3x-5))/7) is ln(sqrt(3x-5))-ln(7)

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simplify ln((sqrt(3x-5))/7)

simplify

ln (\frac{3 x - 5}{7})

ln (3 x - 5) - ln (7)

Solution steps

ln (\frac{3 x - 5}{7})

Apply log rule:

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

ln (\frac{3 x - 5}{7}) = ln (3 x - 5) - ln (7)

= ln (3 x - 5) - ln (7)

lo g_{49} (\frac{20000}{50}) + 1

lo g_{10} (\frac{7 ( x + 6 ) ^{3}}{x ^{5}})

lo g_{2} (\frac{a ^{2} - 4}{7})

\frac{3}{2} ln (5)

ln (\frac{1}{10000})

What is ln((sqrt(3x-5))/7) ?
The solution to ln((sqrt(3x-5))/7) is ln(sqrt(3x-5))-ln(7)