Question

2^x +1/2^x-1 = 5

Answer 1

hmmm i got till
\[2^{x+1}=3\]

Answer 2

wait

Answer 3

2^x + 2^(1-x) = 5
2^x = a

a + 2/a = 5
a^2 - 4a + 2 = 0 now you can do it on your own

Answer 4

x=3/2?

Answer 5

the answer is 0.585
ishaan94 i don't get how you got "2/a" and then what did you do from going to the second last step to the last step?

Answer 6

is it \[2^{x}+1/2^{x}-1=5\]
or
\[2^{x+1}/2^{x-1}=5\]

Answer 7

Ishaan's got a good method, but I think he got his numbers a little bit wrong.\[2^x+\frac{1}{2^x}-1=5\]\[\Leftrightarrow a+\frac{1}{a}=6\]\[\Leftrightarrow a^2+1=6a\]\[\Leftrightarrow a^2-6a+1=0\]

Answer 8

\[\left(\frac{1}{2}\right)^{1-x}\]
\[ 2^{-(1 -x)}\]

Answer 9

thanks

Answer 10

king it's the first one