simplify ln(16y^2)

Solution

simplify

ln (16 y^{2})

4 ln (2) + 2 ln (y)

Solution steps

ln (16 y^{2})

Apply log rule:

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

ln (16 y^{2}) = ln (16) + ln (y^{2})

= ln (16) + ln (y^{2})

Apply log rule:

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

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

= ln (16) + 2 ln (y)

ln (16) = 4 ln (2)

= 4 ln (2) + 2 ln (y)

2 lo g_{6} (x + 2) - lo g_{6} (x - 3)

ln (72) - 2 ln (3)

ln (6 m)

ln (u) - ln (u + 1)

- 4 ln (2) - 3 ln (3) - 4 ln (5)