SOLUTION: Solve for x:10^x to the power of 2 - x equals 100 Please show me steps to get the answer of x = -1 or 2

Question 133263: Solve for x:10^x to the power of 2 - x equals 100
Please show me steps to get the answer of x = -1 or 2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Rewrite as

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

Set the exponents equal to one another

Subtract 2 from both sides.

Factor the left side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or Now solve for x in each case

So our answer is
or

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