SOLUTION: Solve: 2^(x+1)*8^(-x) =4

Question 149219: Solve: 2^(x+1)*8^(-x) =4
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve for x:
Rewrite this as:
Multiply both sides by
Recall that:, so you can write:
Divde both sides by 2 to simplify a bit.
,,,but = Making this substitution, you get:
= Now, because the bases (2) are equal, the exponents are equal, so...
Solve for x:

Let's check this solition:
Substitute
Simplify the left side.
Substitute
Simplify.
Simplify.

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