SOLUTION: 1000^8x=100 x=5/32 Am I correct?

Question 191772This question is from textbook saxon algebra 2
: 1000^8x=100
x=5/32
Am I correct? This question is from textbook saxon algebra 2

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Rewrite 1000 as and 100 as

Multiply the exponents.

Multiply

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

Divide both sides by to isolate .

Reduce.

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Answer:

So the answer is which approximates to .
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