simplify ln(vx^5)

Solution

simplify

ln (v x^{5})

ln (v) + 5 ln (x)

Solution steps

ln (v x^{5})

Apply log rule:

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

ln (v x^{5}) = ln (v) + ln (x^{5})

= ln (v) + ln (x^{5})

Apply log rule:

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

ln (x^{5}) = 5 ln (x)

= ln (v) + 5 ln (x)

2000 ln (\frac{140000}{140000 - 2100 x}) - 9.8 x

2 ln (x) + ln (x + 2)

\frac{1}{2} lo g_{7} (m) + \frac{1}{3} lo g_{7} (y)

ln (\frac{9}{x ^{2} + 2})

lo g_{4} (a^{7} b^{3})