simplify x-ln(8x)

Solution

simplify

x - ln (8 x)

x - 3 ln (2) - ln (x)

Solution steps

x - ln (8 x)

Apply log rule:

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

ln (8 x) = ln (8) + ln (x)

= x - (ln (x) + ln (8))

ln (8) = 3 ln (2)

= x - (ln (x) + 3 ln (2))

- (3 ln (2) + ln (x)) : - 3 ln (2) - ln (x)

= x - 3 ln (2) - ln (x)

ln (sec^{2} (2 x) cos^{3} (2 x))

2 lo g_{10} (x) - (3 lo g_{10} (y) + lo g_{10} (z))

ln (5) + \frac{1}{3} ln (64)

lo g_{2} ((x y)^{10})

9 ln (x) - 2 ln (y) + 5 ln (z^{3})