simplify ln(expx)

Solution

simplify

ln (e x p x)

2 ln (x) + 1 + ln (p)

Solution steps

ln (e x p x)

Apply log rule:

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

ln (e x p x) = ln (e) + ln (x) + ln (p) + ln (x)

= ln (e) + ln (x) + ln (p) + ln (x)

Simplify

ln (e) + ln (x) + ln (p) + ln (x) : 2 ln (x) + ln (e) + ln (p)

Apply log rule:

lo g_{a} (a) = 1

= 2 ln (x) + 1 + ln (p)

10 lo g_{10} (9.64) - 10 lo g_{10} (0.37)

\frac{1}{2} ln (\frac{7 + 7}{3})

8 lo g_{2} (x) - \frac{1}{4} \cdot lo g_{2} (y)

ln (\frac{u - 1}{u + 1})

2 ln (2) + 2 ln (3)