What is ln(sqrt(x)cos(x)) ?

The solution to ln(sqrt(x)cos(x)) is ln(sqrt(x))+ln(cos(x))

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simplify ln(sqrt(x)cos(x))

simplify

ln (x cos (x))

ln (x) + ln (cos (x))

Solution steps

ln (x cos (x))

Apply log rule:

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

ln (x cos (x)) = ln (x) + ln (cos (x))

= ln (x) + ln (cos (x))

ln (7) - ln (6)

\frac{1}{2} lo g_{10} (x) - 2 lo g_{10} (y)

- lo g_{10} (7.5 \cdot 1 0^{- 6})

ln (\frac{2 e}{x})

2 ln (5) + 2 ln (x)

What is ln(sqrt(x)cos(x)) ?
The solution to ln(sqrt(x)cos(x)) is ln(sqrt(x))+ln(cos(x))