simplify ln(xe^1)

Solution

simplify

ln (x e^{1})

ln (x) + 1

Solution steps

ln (x e^{1})

Apply log rule:

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

ln (x e^{1}) = ln (x) + ln (e^{1})

= ln (x) + ln (e^{1})

Apply log rule:

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

ln (e^{1}) = 1 \cdot ln (e)

= ln (x) + 1 \cdot ln (e)

1 \cdot ln (e) = 1

= ln (x) + 1

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

lo g_{e} (10 X)

x + 3 ln (x) + 4 ln (x + 1)

ln (\frac{5006}{4697})

ln (\frac{81249645}{66846833})