simplify ln(b*e^2)

Solution

simplify

ln (b \cdot e^{2})

ln (b) + 2

Solution steps

ln (b e^{2})

Apply log rule:

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

ln (b e^{2}) = ln (b) + ln (e^{2})

= ln (b) + ln (e^{2})

Apply log rule:

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

ln (e^{2}) = 2 ln (e)

= ln (b) + 2 ln (e)

2 ln (e) = 2

= ln (b) + 2

ln (a + b) + 4 ln (a - b) - 5 ln (c)

\frac{ln ( 80 ) - ln ( 10 )}{- 0.004}

- 3 lo g_{2} (x) - 2 lo g_{2} (y)

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

ln (\frac{1}{298})