simplify ln(cx^6)

Solution

simplify

ln (c x^{6})

ln (c) + 6 ln (x)

Solution steps

ln (c x^{6})

Apply log rule:

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

ln (c x^{6}) = ln (c) + ln (x^{6})

= ln (c) + ln (x^{6})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (x^{6}) = 6 ln (x)

= ln (c) + 6 ln (x)

\frac{1}{3} ln (\frac{11}{8})

ln ((cos (x))^{5})

ln (\frac{3}{3})

ln (x^{2} - 9) - ln (x + 3) + 3 ln (x)

3 lo g_{3} (x) - 2 lo g_{3} (y)