SOLUTION: 2power of x + 8(2power of x)=9

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 2power of x + 8(2power of x)=9      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 161157: 2power of x + 8(2power of x)=9
Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
2%5Ex%2B8%282%5Ex%29=9
Let u=2%5Ex
u%2B8u=9
9u=9
u=1
2%5Ex=1
x=log%282%2C1%29
highlight%28x=0%29
Check your answer.
2%5E0%2B8%282%5E0%29=9
1%2B8%281%29=9
9=9
Ture statement.
Good answer.