simplify 1-ln(2e)

Solution

simplify

1 - ln (2 e)

- ln (2)

Decimal Notation

- 0.69314 \dots

Solution steps

1 - ln (2 e)

Apply log rule:

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

ln (2 e) = ln (2) + ln (e)

= 1 - (ln (2) + ln (e))

Apply log rule:

lo g_{a} (a) = 1

= 1 - (ln (2) + 1)

- (ln (2) + 1) : - ln (2) - 1

= 1 - ln (2) - 1

1 - 1 = 0

= - ln (2)

- \frac{3}{2 ^{44} \cdot 5 ^{44}} ln (10)

\frac{π}{e ^{3} \cdot ln ( 20 )}

ln ((x + 1)^{3} \cdot y)

ln (3 \cdot 2) \cdot e^{1}

100 (ln (5) - ln (2)) - 60