SOLUTION: solve the equation 256^x= 64^x+4

Question 243551: solve the equation
256^x= 64^x+4
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Rewrite 256 as and 64 as

Multiply the exponents.

Since the bases are equal, the exponents are equal.

Distribute.

Subtract from both sides.

Combine like terms on the left side.

Divide both sides by to isolate .

Reduce.

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Answer:

So the solution is
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