simplify ln(16e)

Solution

simplify

ln (16 e)

4 ln (2) + 1

Decimal Notation

3.77258 \dots

Solution steps

ln (16 e)

Apply log rule:

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

ln (16 e) = ln (16) + ln (e)

= ln (16) + ln (e)

Apply log rule:

lo g_{a} (a) = 1

= ln (16) + 1

ln (16) = 4 ln (2)

= 4 ln (2) + 1

lo g_{10} (a) \frac{1}{4} - lo g_{10} (b) \frac{1}{2}

4 lo g_{10} (x) - 6 lo g_{10} (x + 2)

lo g_{10} (\frac{10 z}{9})

ln (\frac{x ^{2} y ^{3}}{z ^{5}})

lo g_{5} (60) - lo g_{5} (50) + lo g_{5} (30)