Question 1040323

I'm having some trouble w/ this problem and would appreciate any help:

8^x = 1/128

I came up with this answer: X = 1/ 1024

I'm not sure what I did wrong, but I could use some help please! Thank you!
<pre>No, you're incorrect. It appears as though you multiplied the base on the left with the denominator on the right. Can't work!!
{{{8^x = 1/128}}}
{{{(2^3)^x = 1/2^7}}} ------- Substituting {{{matrix(1,7, 2^3, for, 8, and, 2^7, for, 128)}}}
{{{2^(3x) = 2^- 7}}} ------ Applying {{{matrix(1,5, (a^b)^c = a^(b*c), and, 2^-7, for, 1/2^7)}}}
3x = - 7 ---------- Equating exponents since bases are equal
{{{highlight_green(x = - 7/3)}}}