Question 130059
Given:
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{{{(2x - 1)^(1/2)=sqrt(3)}}}
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One way of doing this problem begins by recognizing that {{{sqrt(3)}}} equals {{{3^(1/2)}}}
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So you can substitute {{{3^(1/2)}}} in the original given equation to convert it to:
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{{{(2x - 1)^(1/2)=3^(1/2)}}}
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Since both sides of the equation are raised to the same exponent {{{1/2}}} for both sides to be
equal, the bases must be equal. Therefore {{{2x - 1}}} must equal {{{3}}} which in equation form is:
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{{{2x - 1 = 3}}}
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Get rid of the -1 on the left side by adding +1 to both sides to get:
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{{{2x = 4}}}
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Solve for x by dividing both sides of this equation by 2 to get:
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{{{x = 2}}}
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Hope this helps you to understand the problem.
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