simplify ln((ex)/3)

Solution

simplify

ln (\frac{e x}{3})

1 + ln (x) - ln (3)

Solution steps

ln (\frac{e x}{3})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{e x}{3}) = ln (e x) - ln (3)

= ln (e x) - ln (3)

Apply log rule:

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

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

= ln (e) + ln (x) - ln (3)

Apply log rule:

lo g_{a} (a) = 1

= 1 + ln (x) - ln (3)

- ln \frac{( \frac{( 79 - 80 )}{( 10 - 80 )} )}{40}

f (x) = ln (x + 1) - ln (x + 2)

lo g_{2} (\frac{1}{10})

\frac{1}{2} ln (1000000000 0^{2} + 1)

- ln (7.6 - 3) + 2 ln (7.6 - 2)