simplify ln(e(x-6))

Solution

simplify

ln (e (x - 6))

1 + ln (x - 6)

Solution steps

ln (e (x - 6))

Apply log rule:

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

ln (e (x - 6)) = ln (e) + ln (x - 6)

= ln (e) + ln (x - 6)

Apply log rule:

lo g_{a} (a) = 1

= 1 + ln (x - 6)

- \frac{1}{4} lo g_{2} (\frac{1}{4}) + (- \frac{3}{4} lo g_{2} (\frac{3}{4}))

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

lo g_{2} (x + 7) + lo g_{2} (11 - x)

lo g_{10} (\frac{( 3 b ^{2} + 21 b )}{( 11 b + 77 )})

lo g_{10} (\frac{9 x ^{5}}{y ^{6}})