What is ln((5sqrt(x))/6) ?

The solution to ln((5sqrt(x))/6) is ln(5)+ln(sqrt(x))-ln(6)

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simplify ln((5sqrt(x))/6)

simplify

ln (\frac{5 x}{6})

ln (5) + ln (x) - ln (6)

Solution steps

ln (\frac{5 x}{6})

Apply log rule:

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

ln (\frac{5 x}{6}) = ln (5 x) - ln (6)

= ln (5 x) - ln (6)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (5 x) = ln (5) + ln (x)

= ln (5) + ln (x) - ln (6)

lo g_{7} (\frac{p}{q})

lo g_{10} (a) + 2 lo g_{10} (b)

\frac{1}{2} lo g_{c} (x) + 3 lo g_{c} (y) - 2 lo g_{c} (x)

ln (\frac{x}{e ^{8 x}})

\frac{1}{2} ln (x) - ln (y)

What is ln((5sqrt(x))/6) ?
The solution to ln((5sqrt(x))/6) is ln(5)+ln(sqrt(x))-ln(6)