simplify ln(3ab*5c)

Solution

simplify

ln (3 ab \cdot 5 c)

ln (3) + ln (a) + ln (b) + ln (5) + ln (c)

Solution steps

ln (3 ab \cdot 5 c)

Apply log rule:

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

ln (3 ab \cdot 5 c) = ln (3) + ln (a) + ln (b) + ln (5) + ln (c)

= ln (3) + ln (a) + ln (b) + ln (5) + ln (c)

lo g_{a} (\frac{m}{n})

lo g_{10} (x) + lo g_{10} (x^{2} y) + 3 lo g_{10} (y)

lo g_{10} (\frac{z ^{3}}{x ^{5} y})

ln (x sin (x))

20 lo g_{6} (u) + 5 lo g_{6} (v)

What is ln(3ab*5c) ?
The solution to ln(3ab*5c) is ln(3)+ln(a)+ln(b)+ln(5)+ln(c)