simplify ln(c^2a)

Solution

simplify

ln (c^{2} a)

2 ln (c) + ln (a)

Solution steps

ln (c^{2} a)

Apply log rule:

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

ln (c^{2} a) = ln (c^{2}) + ln (a)

= ln (c^{2}) + ln (a)

Apply log rule:

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

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

= 2 ln (c) + ln (a)

ln (0.5 \cdot 1.7 \cdot 3.4 \cdot 5.7 \cdot 8.4)

lo g_{4} (6) - lo g_{4} (10) + lo g_{4} (x)

ln (\frac{35}{50})

- lo g_{10} (6.659 \cdot 1 0^{- 5})

ln (\frac{497}{2}) 5