simplify ln(2x^2)

Solution

simplify

ln (2 x^{2})

ln (2) + 2 ln (x)

Solution steps

ln (2 x^{2})

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (2) + 2 ln (x)

lo g_{4} (12 \cdot 3)

ln (x^{2} - 4) - ln (x + 2)

- lo g_{10} (1.6 \cdot 1 0^{- 4})

- lo g_{10} (1.76 \cdot 1 0^{- 5})

lo g_{10} (x y^{3})