How do you solve log85log8(x6)=1?

1 Answer
Sep 21, 2016

x=538or658

Explanation:

Remembering that
XXXlogb(p)logb(q)=logb(pq)
and that
XXXlogb(b)=1

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

log85log8(x6)=1

can be rewritten as
XXXlog8(5x6)=log88

which implies
XXX5x6=8

XXX5=8x48

XXX8x=53

XXXx=538