Just some hard indices problems I need help with, I have no idea how to go about these:
find n:
(1/4)^n=8
(125/8)^n=25/4
(81/16)^n=32/243
81^2n-1=27^3n+1
16^2-n = (1/4)n+1
thanks, as I can't seem to find the right method
Hello, GoodLuckMe!
The procedure is:
. . Express all exponential in the same base.
. . Equate exponents.
. . Solve for
I'll do the last one.
We note that: .
So we have: .
. . . . . . . . . .
. . . . . . . . . . .
. . . Then: . .
. . . . . . . . . . .
. . . . . . . . . . . . .