SOLUTION: Use logs (any base) to find the unknown: 2 to the power of 2x^2-3x = 2 to the power of x^2 - 2x + 12 (there are two answers, please find both using steps)

Question 133343: Use logs (any base) to find the unknown:
2 to the power of 2x^2-3x = 2 to the power of x^2 - 2x + 12 (there are two answers, please find both using steps)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

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

Set the exponents equal to one another

Subtract from both sides. Add 3x to both sides.

Combine like terms

Factor the right side

Now set each factor equal to zero:
or

or Now solve for x in each case

So our answers are

or

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