simplify ln(3y^2)

Solution

simplify

ln (3 y^{2})

ln (3) + 2 ln (y)

Solution steps

ln (3 y^{2})

Apply log rule:

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

ln (3 y^{2}) = ln (3) + ln (y^{2})

= ln (3) + ln (y^{2})

Apply log rule:

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

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

= ln (3) + 2 ln (y)

lo g_{10} (a) - 2 lo g_{10} (b) + 3

ln (16) + ln (7) - 3 ln (2)

6.1 + lo g_{10} (\frac{B}{C})

lo g_{2} (\frac{( 4 π ^{2} )}{30})

4 + 2 ln (2) - 2 + 2 ln (x)