Question

If f(x) = loge x and x >0, prove that f( u v w) = f(u) + f(v) + f(w).

Answer 1

log base (e)?

Answer 2

so ln(x)

Answer 3

ya log base e

Answer 4

f(u*v*w)=ln(u*v*w)=ln(u)+ln(v)+ln(w)

Answer 5

rules of log

Answer 6

what is ln??

Answer 7

f[u*v*w]=log(u*v*w)=log(u)+log(v)+log(w) = f[u]+f[v]+f[w]

Answer 8

\[\ln(x)=\log_e(x)\]

Answer 9

and
f(u)=ln(u)
f(v)=ln(v)
f(w)=ln(w)
f(u)+f(v)+f(w)=ln(u)+ln(v)+ln(w)

Answer 10

and as zarkon wrote ln means natural log or a log with the base value being e

Answer 11

is log a +log b = log a *log b???

Answer 12

log(a)+log(b)=log(a*b)