A circle is dropped into parabola y = x 2 . what is the radius of the largest circle that will touch the vertex?
1 answer:
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Yes, you're right! The first step is rewriting the equation as
Subtract from both sides:
Use the property to rewrite the equation as
Divide both sides by
Alternative strategy:
Consider both sides as exponents of e:
Use to write
Divide both sides by a:
Consider the logarithm base b of both sides:
The two numbers are the same: you can check it using the rule for changing the base of logarithms