SOLUTION: i have a question about a problem that my parents gave me. the problem is {{{8^x=1/16}}}. here's what I've done. {{{8^x=1/16}}} x<0 {{{2^3x=1/16}}} 3x=-4 x={{{-4/3}}} my

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: i have a question about a problem that my parents gave me. the problem is {{{8^x=1/16}}}. here's what I've done. {{{8^x=1/16}}} x<0 {{{2^3x=1/16}}} 3x=-4 x={{{-4/3}}} my       Log On


   

Question 960976: i have a question about a problem that my parents gave me. the problem is 8%5Ex=1%2F16. here's what I've done.
8%5Ex=1%2F16
x<0
2%5E3x=1%2F16
3x=-4
x=-4%2F3
my dad says that I am missing a step in between the third and fourth step. I've been thinking about it for 10 minutes, but i can't figure out whats missing. it makes sense to me. please help?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
8%5Ex=16%5E%28-1%29

%282%5E3%29%5Ex=%282%5E4%29%5E%28-1%29 -------this one and...

2%5E%283x%29=2%5E%28-4%29----------this one,
seem to be the missing steps.

3x=-4

x=-4%2F3

You might be able to jump through steps in your head and not feel the need to write them, but other people cannot always see through what you skipped.