Question

Solve EXACTLY in terms of log.
10/(1+10^-x) = 2
x= ?

Answer 1

\[\frac{10}{1+10^{-x}} =2\]\[\implies 10 = 2(1+10^{-x})\]

Can you solve from here?

Answer 2

10= 2(1+1/10x) ?

Answer 3

That's a good start, though it's 10^x not 10x

Answer 4

been a while so thanks for the patience

Answer 5

ah so 1/10^x

Answer 6

So:
\[10 = 2(1+\frac{1}{10^x})\]

Answer 7

Now distribute the 2 to each term in parens.

Answer 8

10= 2+2/10^x ?

Answer 9

so 10= 2 + 1/8^x ?