( 1/4 )^(x−2)=16

is x =8

5 answers

Font garbling, but

(1/4)^(-2) = 16
8 (2/x) =4

I was so confused of this one that i used the calculator, but the calculator says that x=4. The thing is that my teacher said that 4 is wrong and when i replaced the x with a 4 in the calculator (8 2/4=4) it said that 8 2/4 is not = to 4. I know that but i tried it anyways.
can you guys help me.
plz dont forget to explain+give answer
:), :D
sorry about that
it was actually ( 1/4 )^(x−2)=16
so, for the 1st problem, x-2 = -2

8 = 2^3, so 2=8^(1/3)
4 = 2^2
so, 2^2 = (8^(1/3))^2 = 8^(2/3)

That means 2/x = 2/3 and x=3