SOLUTION: solve 4^2x-3 = 1/16

Question 151075: solve 4^2x-3 = 1/16
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Rewrite as

Multiply the exponents.

Rewrite as

Since the bases are equal, this means that the exponents are equal.

Distribute.

Add to both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

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Answer:

So the answer is

Which approximates to
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