simplify ln(3ab*2c)

Solution

simplify

ln (3 ab \cdot 2 c)

ln (3) + ln (a) + ln (b) + ln (2) + ln (c)

Solution steps

ln (3 ab \cdot 2 c)

Apply log rule:

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

ln (3 ab \cdot 2 c) = ln (3) + ln (a) + ln (b) + ln (2) + ln (c)

= ln (3) + ln (a) + ln (b) + ln (2) + ln (c)

lo g_{10} \frac{x ^{3}}{( x + 6 ) ^{5}}

ln (12) + \frac{1}{2} ln (\frac{x}{2}) + \frac{1}{2} ln (\frac{x}{2})

ln (2) + ln (3) + ln (5) + ln (7)

5 lo g_{10} (x) + lo g_{10} (y) - 3 lo g_{10} (z)

ln (\frac{75}{36})

What is ln(3ab*2c) ?
The solution to ln(3ab*2c) is ln(3)+ln(a)+ln(b)+ln(2)+ln(c)