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

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

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

simplify

ln (x cos (c) x)

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

Solution steps

ln (x cos (c) x)

Apply log rule:

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

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

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

lo g_{1.8} (\frac{3.98}{10.4}) + 55.71 - 54.41

100 \cdot ln (\frac{790}{775})

60 \cdot ln (\frac{0.06096}{0.0106})

ln (\frac{5}{5 - 10})

ln (\frac{( 4 e ^{x} - 4 )}{3})

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