Question

simplify:
5^5log(base1/5)x

Answer 1

first simplify log(1/5)(x)

log(1/5)(x) = log(x)/log(1/5)
=log(x)/(-log(5))
=-log(x)/log(5)
= log(1/x)/log(5)
=log(base5)(1/x)
so 5^5log(1/5)(x)
= 5^5log5(1/x)
= 5^log5(1/x^5)
=1/x^5 (because e^(loge(a))=a

Answer 2

1/5 is the BASE. You cannot use the above mentioned property!

Answer 3

It is not log1/5*x , it is \[\log_{1/5} x\]

Answer 4

if you dont know, learn it.
the formula is log(base a)(b) = log(b)/log(a) (for any fictious base)

Answer 5

\[\log _{b}^{a} = \log(a)/\log(b)\]

Answer 6

penpal is correct..that is how the problem is written