simplify ln(6x^2)

Solution

simplify

ln (6 x^{2})

ln (6) + 2 ln (x)

Solution steps

ln (6 x^{2})

Apply log rule:

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

ln (6 x^{2}) = ln (6) + ln (x^{2})

= ln (6) + ln (x^{2})

Apply log rule:

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

ln (x^{2}) = 2 ln (x)

= ln (6) + 2 ln (x)

- lo g_{10} (- 0.83 x 1 0^{14})

lo g_{6} (A B^{2})

lo g_{9} ((\frac{a}{b ^{3}})^{4})

((262) \cdot ln (\frac{910}{1960})) - ((6855) \cdot ln (\frac{15}{45}))

lo g_{10} (\frac{2 u}{3 v})